I don't have a HBII, but I've played one, and I have a P22. There will be some tonal differences due to hollow vs. solid body, but I think a bigger difference will be due to the fact that the HBII does not have any split coil pickup capability, just traditional LP style 3 way switching. The P22's 5 way includes both pickups in single coil together and the bridge HB+neck single. It can actually cover some Fender territory reasonably well.