OK, fair enough. Let's pick other sports.
It's not unsual for golf pros to swing weighted clubs as they practice (which are thoroughly unlike their playing clubs), to say nothing of the constant comparison they do of hitting one model or variation of one club or another. And that's a sport where tiny gradations of force and timing are required.
Changes in kinesthetic feedback can accelerate learning.
I have no idea if that is true, but if so then the skill set certainly is not clearly analogous to pistol shooting.
I'll agree to one caveat, which is that shooting a lot of DA revolver -- with its heavier, longer, trigger pull -- does wonders for my auto pistol shooting. Trigger control and sight picture are much better for the effort put in with the wheelguns.
HOWEVER, those benefits are offset by a greatly diminished general facility with the auto, in the short term. While the trigger control is good, and my ability to see and maintain a proper sight picture is improved, my natural index, timing, draw, and lots of other facets of the shooting function are thrown completely off by using a different firearm.
It STILL takes ~1,000 rounds of solid practice to transition back to my normal weapon and be really "ON" with that gun.
So this is not the same thing as taking a few swings with a weighted bat before stepping up to home plate. More like playing bass guitar and then picking up a mandolin.
It may be worth a switch as a kind of exercise regimen to improve a part of your skill set, but it isn't something you just switch seamlessly between.