I just purchased a P-02, my first CZ. My decision was based on a few things: short barrel, alloy frame for less weight, and the supposedly simple and smoother Omega trigger. Though I cannot compare to the original trigger, I can compare to my other guns.
I am impressed with the P-02. It's weight with the alloy frame is similar to my PPQ M2 polymer gun, 4" barrel. The CZ Compact with steel frame would weigh about the same as my commander length 1911. For a .45 caliber in a short barrel the extra weight is welcomed, but not necessary in a 9mm, IMO.
The Omega trigger out of the box was new to me. The P-02 comes with a manual safety. The only time the hammer is all the way decocked is when you pull the trigger on an empty chamber. The hammer drops on the firing pin and the slide does not cycle. Other than that the gun can be carried cocked and locked, or you can manually drop the hammer on the half cock. This is the only time the gun will fire in DA mode, from half cocked position.
The trigger pull when dry firing from hammer fully decocked is almost too long for my finger to reach and the pull is heavy. In half cocked position the trigger moves closer to the grip allowing easy reach. The pull is still heavy but manageable and I'm able to hit the target. In half cocked position the manual safety can be engaged and the trigger is locked. In SA mode the break is quite crisp but with a little creep. Not quite as clean as my PPQ or polished 1911 trigger. I am not going to change a thing on the trigger as I find it works well.
I would feel comfortable carrying the P-02 with the manual safety. My PPQ does not have any safety other than the trigger safety and firing pin block. I use my PPQ holstered for practical shooting matches but would not carry. Just. My preference.
The sights on the P-02 is not the greatest out of the box. The dots are not very defined and the sight picture leaves very little space/gap between the front and rear sights. It is even less than the Novak sights on my 1911. The PPQ has a wider gap and for me it allows for faster target acquisition.
I really like my P-02 and have no regrets. I like the wood grips and will put that on my wish list.