Probably more of a perception and familiarity issue ...
I can see how comparing the traditional double action S&W metal-framed pistols to the comparable Sig Sauer pistols could give that impression.
The S&W design uses a drawbar which is tensioned by a plunger & strong coil spring. This is located in front of the drawbar, in the middle, and it tensions it by exerting rearward pressure.
The Sig Sauer design, on the other hand, uses a trigger bar which is powered by a wire spring which exerts its tension from outside the frame and trigger bar. Different type of spring and leverage, so to speak. The trigger reset can seem softer and less brisk to someone familiar and experienced with the S&W design.
Now, the short trigger may alter this perception for some folks since it changes the reach somewhat.
The new short reset trigger (a different sear and sear spring) may change someone's perception, as well. As it was explained to me by someone from Sig Sauer, their purpose in developing the short reset trigger was to make something comparable to the short reset of the S&W TDA design (during competition for a large LE contract). I feel like they succeeded in their purpose, since the trigger reset is very short and quick ... although I feel it retains the 'softness' of the Sig Sauer TDA trigger, and still lacks the briskness of the S&W design.
I don't use the 'awareness of SA reset' for normal defensive shooting. Different designs have different characteristics, and I don't want to develop a specialized technique which would be a potential disadvantage outside of using a specific design/make/model. I never want to short-stroke a trigger stroke.
There are potential safety considerations involved in 'shooting to reset', too, and these should be carefully considered. Having your finger on a reset trigger without the deliberate intention to immediately fire a shot is not a good thing under stress in the real world. Such are the things that can lend themselves to negligent discharges.
I think that proper training can resolve perceptual issues, though. I don't have any issue properly and effectively using a traditional double action Sig Sauer or S&W pistol (or similar TDA Ruger, HK, Walther, etc. pistols).
Specifically, I don't 'feel' the softer/longer trigger reset of either the Sig Sauer, HK USP or Ruger P-series when running through the various training & qualification courses-of-fire with one or another. One of the things I consider important for me is not using a trigger technique which lends itself to short-stroking the trigger (by expecting a 'short' trigger reset) by becoming too 'used' to just one type of pistol design/model.
Then again, I learned my DA/DAO trigger skills using revolvers. Talk about length of trigger reset.
Interestingly enough, and admittedly off-topic, is an experience I had with my 642-1 one time. An experienced revolver armorer initially installed an aftermarket rebound slide spring in my then-new 642-1. The heaviest of the ones available, but still lighter than the factory one.
After a lot of range time with my 642-1 I noticed that I was starting to come close to 'out-running' the DAO trigger reset of the little gun. I wasn't short-stroking it. The trigger just wasn't returning forward fast enough. Hmmm. I returned to using the factory rebound slide spring and the 'problem' was resolved.
FWIW, I consider the Sig Sauer TDA trigger design and trigger stroke to be my 3rd personal 'favorite' ... with the S&W and Walther designs being 1st and 2nd for my preferences.
They're all good for what they are, though.
Just different strokes.
