The only advantages ZZ gives for OH are that it minimises the number of F and B moves, and removes the need for y rotations which usually require a regrip. If you practice CFOP OH enough, you'll become much better at those things, and the advantage that ZZ gives disappears.
That said, as a long time ZZ solver who is just starting to tak OH seriously, I'm finding it a lot easier to improve with ZZ than friends who use CFOP, whereas I typically improve much slower than them in other aspects of cubing.