I've had problems with my M22-4 pulling bullets - it's much lighter than a 625 so it's a better bullet puller. I went with 225-grain RNFPs from Missouri Bullets; I just checked their website and they're no longer listed. I also use the Redding Profile Crimp die and crimp in the crimp groove. I chose those bullets so I'd have something that would have the same POI as my carry load, 230-grain HST +P.
If my geezer memory serves, I never had problems with pulled bullets in my 1917 using uncoated 230-grain RNLs.