Canik safeties are able to be engaged in any hammer position (down/half/full) with the slide locking when on. CZ safeties, IIRC (I don't own any actual CZ's) only engage with the hammer back. Unsure of slide locking. But basically they are both functionally the same, with the difference being that you can buy a safetyless decocker version of the CZ whereas the Canik would have to be manually decocked for carry...at which point you COULD use the safety, but...why would you? Trades off single-action pull for no benefit.
One odd thing I've noticed is that my polymer SAR's safety locks the slide when the hammer is down, but does NOT lock the slide when the hammer is back.