Let me address this first, as this is a common misconception. The modern trigger safety originated with the striker-fired Glock pistol. It indeed does function to prevent inertial trigger movement if the pistol is dropped and lands on the rear of the slide or grip.
HOWEVER... that is not it's only function. From the current
Glock Manual (page 7):
1. Trigger Safety: The trigger safety is a lever incorporated into the trigger (26). When the trigger safety is in the forward position it blocks the trigger from moving rearward. The trigger safety and the trigger must be fully depressed at the same time to fire the pistol. If the trigger safety is not depressed, the trigger will not move rearward and allow the pistol to fire. The trigger safety is designed to protect against firing if the pistol is dropped or the trigger is subjected to lateral pressure. [emphasis added]
According to the manufacturer, the trigger safety has TWO functions. The later is important for safe carry and holstering of a striker fired pistol with no manual safety.
In a striker fired pistol with no manual safety, the trigger safety acts as a safety against accidental discharge if the trigger is contacted with side pressure - as during drawing, holstering, or flopping around in a pocket, bag or "universal" holster. Especially on the 2.0, the trigger everyone

because it is short and light, benefits from a properly designed trigger safety.
The "traditional" blade-style was replaced with a soft-fingers-friendly paddle style, which reduces the secondary function. And making it wider than the trigger itself further reduces it's function. Part of this is sloppy tolerance as the safety has lateral movement as well. While this is perhaps acceptable on a target or competition pistol, it's wrong on a small concealment gun.
Under stress, forgetfulness, lack of training/knowledge, etc... carrying and especially holstering of loaded handguns can result in less than perfect diligence. I personally would not carry this pistol without the TS engaged.
You make some other very good points. The TS can be trained with. But on a pistol that I think requires it, it could have been better executed. As I haven't carried the 2.0 yet - lacking a suitable holster - I can't speak to whether the extended mag catch is a problem. But many many people use the cheapest "universal" style holsters available, and in my view they are problematic with the 2.0. This is simply an unforced error by S&W - there is no need for an extended mag catch or super-wide paddle trigger safety on a small concealment pistol.
What you printed from the Glock Manual is exactly what it is...a drop safety.
"Lateral" means "from the side". Triggers aren't designed to actuate their triggering function laterally, period. With or without a trigger safety incorporated, the trigger is designed to operate axially (with the frame) only. Back and forth. To get the trigger to move back, a portion of the force applied MUST act axially towards the rear to accomplish this...and that means on the face of the trigger. And guess where the trigger safety is mounted to be actuated? On the face of the trigger.
The current wording, from their website, is:
"The trigger safety is designed to prevent the pistol from firing if it’s dropped or if the trigger is subjected to any pressure that isn’t a direct firing pull."
Much like the wording you posted above, of course. The wording has shifted a bit over the decades, from my past research. Which leads me to believe they tweeked the wording for commercial/marketing purposes. Well, they're in the business of selling firearms, so more power to them.
Most people focus on the trigger safety, of course, because it's the most obviously visible part of their drop safety design.
But there is also safety in redundance, so Glocks have two other safety mechanisms built in. They have a "firing pin safety", which physically blocks the firing pin from moving forward until the trigger is started to be pulled. And then there's the "drop safety", which involves the trigger bar. The trigger bar must move down to allow the release of the firing pin.
They are ALL drop safety measures, designed to ensure that the ONLY thing that can cause the pistol to fire is the direct movement of the trigger in a rearward direction with the most likely means of cause being the action of a finger on the trigger. However, anything which enters between the trigger guard and the face of the trigger MAY act to cause the trigger to actuate and thus fire the gun. Which means it's not a true "safety" which can be engaged to prevent any firing of the weapon.
From an engineering stand point, this is EXACTLY what their safety system is...a drop safe design. No more, no less. Words used to describe these features can lead people to believe whatever it is they wish to believe, most especially if it helps sales.
"In a striker fired pistol with no manual safety, the trigger safety acts as a safety against accidental discharge if the trigger is contacted with side pressure - as during drawing, holstering, or flopping around in a pocket, bag or "universal" holster. Especially on the 2.0, the trigger everyone
because it is short and light, benefits from a properly designed trigger safety."
No amount of safety mechanisms will ensure against individual stupidity, such as "flopping around in a pocket, bag, or 'universal' holster". A proper holster is absolutely essential to one's safety posture when carrying a handgun. It protects any manual safety from inadvertently disengaging, keeps "stuff" out of the trigger guard that shouldn't be there, and secures the pistol in place against unwanted movement.
EDIT: And no "side pressure" causes the trigger to move backwards. Whatever the pressure is, whatever its source, it's a force vector applied in the rearward direction that actuates the trigger. NOT "side pressure".
And oh, yes...you very much hit on some positives for the BG 2.0. It's indeed short and light!
"Under stress, forgetfulness, lack of training/knowledge, etc... carrying and especially holstering of loaded handguns can result in less than perfect diligence. I personally would not carry this pistol without the TS engaged."
Absolutely. But then...this ought to be considered as truth at face value by anybody who chooses to carry a firearm. It IS dangerous and this MUST be respected. Consequences of screwing up can be very serious, indeed.
"The TS can be trained with. But on a pistol that I think requires it, it could have been better executed. As I haven't carried the 2.0 yet - lacking a suitable holster - I can't speak to whether the extended mag catch is a problem. But many many people use the cheapest "universal" style holsters available, and in my view they are problematic with the 2.0. This is simply an unforced error by S&W - there is no need for an extended mag catch or super-wide paddle trigger safety on a small concealment pistol."
Yeah, I think the safety could be quite a bit better. Even a low profile safety could have been designed to operate better than this one.
As for people and holsters...I escapes me why, after spending X amount of money, so many people seem to think not also investing in a decent holster is somehow anathema. It's only the price of a few boxes of ammo, when you think about it. I'm waiting for one I ordered a week or two ago from TT Gun Leather, at $145. Heck, a typical box of 50 rounds of .380 ammo at, say, PSA, runs what...$27 give or take? So the holster cost less than 6 boxes of ammo.
Small price to pay for doing things the right way when the consequences are considered.
Anyway, when my holster comes in, I'll be sure to post my opinion on these factors, especially with respect to the magazine release you brought up.