Ideally you are correct, but keeping things nice and short tends to lead to better kills or shot placement.
Also, you are only going to get 1850 fps from a Marlin or Ruger 44/77 with factory ammo, and that is with a 240 grain bullet. Move up to 270+ and you will not even make that velocity. A 45/70 moves at 1800+ with a 400 grain bullet. A lot of difference there I think. A 445 SuperMag will get you to 2500 fps with a 200/240 grain pistol bullet, but that is not what we are comparing.
Throw in that most deer, at least in the south and east Texas are shot within 100 yards of a blind or stand. So why go hunt a bean field that is 300 acres with a .44 Magnum when a .25-06 is what you really need to take?
I have killed deer with my 30-30 out to 250 yards, and killed deer with my .25-06 at 15 yards out to 300 yards. With all that said, you really should try to keep deer within the 125 and under range when shooting them with a .44 Magnum. That shouldn't be hard. People kill millions of deer a year with crossbow and long bows.
A crossbow will kill at 200 yards, but who wants to aim at the moon, and figure in the winds at 200 feet in the air? That leads me to another point. The bullet design for the .44 Magnum is not ideal for long distance shots. It looses velocity very fast, and drifts with wind due to its lack of ballistic coefficient.
I am not trying to have a major debate. I am agreeing with you, but a dime dropped from a plane can kill a rabbit if you can hit it from 4000 feet in the air moving 150 mph.