Actually you got it backwards begbie80:
Mr. Driller won't run as good in Zinc. It was one of the last games added to Zinc prior to the final release.. it has some issues that even other zinc games don't have.
Now it very well could be the case that Mr. Driller runs slower on your pc, but that's your hardware's fault.

If the "this hardware isn't 100% correct" message you are getting it mame, the game is still as good or better emulated than in zinc. At the very least it should have your scores and such. Zinc just didn't come with warning messages is all.