If you get a .45 double action that uses moon clips, you could shoot .45 GAP. If you got a strong Ruger .45 you could shoot .45 Super. 9mm revolvers are stuck only shooting 9mm.
There will be velocity loss compared to an auto loader, probably more than you'd expect. With my Redhawk and its 4 inch barrel, Winchester White Box was getting around 760 up to 780 FPS and accuracy was poor. Now, that's also a .45 Colt chamber, so there is a jump and enough of one that gasses blow by before the bullet reaches the throat, so there's pressure loss before the bullet even passes the gap into the cone. I've loaded my .45 ACP handloads up into +P range and get about 860 fps with 5.5 gr of Bullseye with a 225gr bullet and a roll crimp and accuracy is good.
BTW, that's another benefit of the moon clip .45 revolvers in that you're headspacing off the clip, not the case mouth so a roll crimp can be used and I do recommend roll crimps be used.
I don't know of any 9mm bullets that have a crimp groove. The .45 ACP can use the same bullets that .45 Colt does depending on the weight.
Finally, I would recommend sticking with a revolver that uses moon clips, basically don't get the Charter Arms Pitbull as you'll lose the ability to use roll crimped ammo. Same thing with the single actions, but I doubt you're seriously considering a single action in a rimless caliber.
So, I say .45, there are good reasons too go with it, but sadly the market seems more interested with 9mm revolvers.
ETA: Also, with the .45 revolvers, unless you're shooting a +P ammo that you can verify gets 800 fps out of the revolver (that seems to be the minimum for expansion) there's very little chance a hollow point will expand. This is yet another instance where I would recommend the Inceptor or Lehigh ammunition or whatever uses a bullet with the flutes cut in the nose.