I've been shooting compensated handguns since around 1991, and I've shot them in 9x19, 9x21, 9x23, .38 Super/Supercomp, 10mm, and .45acp. I've shot pretty much every variation of compensator you can think of...bushing comps, comps without much in the way of expansion chambers, with multiple expansion chambers, and most every variation you can think of...side ports, popple holes, hybrid ports, etc, etc.
To say a compensator works "extremely well" in .45acp is a bit of an exaggeration, in my opinion, but I guess it's a subjective thing. Yes, they make some difference, but mostly with ammo that you would never carry on the street. Further, I can make a bigger difference in muzzle flip with grip technique than you can get with any compensator. People doubt that until I prove it in person.
The thing most folks miss about a compensated pistol is that they reduce straight back recoil (which is why you have to use lighter recoil springs) because the first thing the gas hits is the first vertical baffle....that pushes the barrel forward, which pushes the rest of the gun forward. The more gas volume you have, and the higher the pressure that gas is at, the better the compensator will work (all other things being equal).
With all of that said, I wouldn't bother with a compensated carry gun. It makes the gun hard er to carry, it can cause muzzle flash issues (from minor to nearly blinding with some ammo), causes issues if you have to fire from a position of retention (blast yourself in the face with all the gas and unburned powder) and really isn't going to help you do anything better in a defensive situation.
If you're trying to shoot a plate rack, or table of bowling pins, or a USPSA/IPSC stage as fast as possible, they can make a clear difference, but the reality is most folks aren't shooting fast enough to realize the compensator's advantage (other than straight back recoil reduction). In other words, if you're shooting .25s splits (time between shots) a compensator isn't helping you. If you're shooting .15s splits, a comp can help some, but it's still a fairly small part of the equation.