I've done that before when I was too impatient to go get the regular cartridge removal tool and used Vice Grips. The worst was the time I did it on a shower in a duplex I own - it turned out to have no plumbing access (it does now!).
I have also gotten the cartridge out after doing that once or twice. I cannot remember how, just now. What about running a lag screw into the center to give something to pull on - its all brass anyway. There is little to lose at this point.
I just replaced the toy sink in my '85 Sovereign
25' with a stainless steel bowl and Moen faucet. It is so nice to have a sink that allows both hands to be in it at once.