TunnelRat, here are the Colt 1911 and CZ P01 side by side for grip thickness comparison (pretty sure you can tell which is which by means of of one having a grip safety, and one having vertical serrations):
So, the VZ grips slim the P01 nicely - but they still aren't going to be super-slim. For contrast, the P01 next to a Kahr MK9:
For a gun of its size, though, a P01 gets noticeably slimmer using the VZs. It looks good with them, too, IMO: