The theory behind comped guns is to have less muzzle flip. But, they work best in a high pressure round.
In the 1990s, I had a compensated 1911 - kewl gun actually. But, a comp doesn't really do much for a 45. When I shot it alongside a regular 1911 I had at the time, I really could not tell much difference. Neg side of the gun is that it is much louder - that comped 1911 I had was typically the loudest gun on the range, unless someone was shooting a 44. A comped gun is not a gun U would want to use in self defense, especially indoors. Permanent hearing damage for sure.
Also, in close quarter combat or a situation where the gun is close to your body, you could possibly get debris from the comp hitting U or your eyes.
I've had 2 comped guns in the past. They have a certain coolness factor. And, on a range gun, they are fine. As a defense gun, I can't recommend it.