This is interesting, I had the same type of damage shooting a steel framed Compact, but I attributed it to the different shape and angle of the beaver tail. But maybe I was getting hammer bite instead? Regardless, I went with a PCR because of it, and have never had an issue. The PCR and the P-01 should be nearly the same, and I grip all my pistols the same, at least as much as possible. I wouldn't want to have to change grips just to accommodate one particular pistol, so if you can't make it work without bleeding, I'd say you need to think about getting something else. Sorry I don't have anything helpful, good luck.
Dave