The Omega trigger is a somewhat simpler trigger system than the traditional (original) design. In a polymer-framed CZ, the user has the option of switching from decocker to safety and back.
The metal-framed (non-Omega) CZs come with one or the other -- and they are not easily swapped. (The key parts are the same for all of the metal-framed non-Omega models -- except for the decocker mechanism, which replaces the safety mechanism). When the non-Omega trigger is broken in or tuned, there is little difference (in feel or function) between the standard safety model and the standard decocker model -- you can't start from cocked & locked when using the decocker.)
Decocker models start from the half-cock position, and automatically decock to that position. (That gives you a slightly shorter trigger pull and a slightly lighter trigger pull; the safety-model can be started from cocked & locked, or from the half-cock position.)
The CZ Custom Shop introduced a P-02 model some time back, which was a P-01 with an Omega trigger. I've seen it offered elsewhere, too. CZ is now seems to be offering the Omega trigger on other models including the P-01 and the 75B.
As I noted in my earlier response, I don't know whether the triggers systems in the metal-framed models are user-changeable from safety to decocker, or vice versa. (I don't think they are.)
I have a used P-07 which came with the decocker parts missing... that didn't bother me as I don't like decockers. This gun has as good a trigger as any "stock" CZ I've owned. (And it's almost as good as my Sphinx SDP, which is saying a lot.)
I've owned a bunch of CZs over the years, including a number of pre-B models and some 75s and an 85 Combat (and a 97B and 40B), and some of them have had some custom gunsmithing. I like the P-07 as well as any of them -- and it and my 85 Combat are the only CZ I own, now.
That doesn't tell you much about how the Omega system works in a metal-framed gun, but most folks like them a lot... They ARE better out of the box and smooth up very quickly.
If you haven't already done so, check out Cajun Gun Works (
www.cajungunworks.com) to see info about reasonably inexpensive parts upgrades, or custom gunsmithing work.