Glad this thread came up.
The Omega lock work is very simple, but is not very precise. Nothing wrong with this on a service pistol. The trigger bar is stamped from sheet metal and can vary quite a bit in overall length. We keep some factory trigger bars on hand and sometimes and swap them to improve a shop built Omegas performance on occasion. Sometimes this swap helps, sometimes it does not.
The timing is also different from the polymer P/07/09's to the metal framed Omegas, so the parts have to be a compromise (of sorts) to all allow performance parts to drop in across a wide spectrum of CZ Omega models.
Also keep in mind there simply must be a minimum of 3 mm pre-travel in SA to allow the firing pin block to lift sufficiently to make the ignition system 100% reliable. This is the main factor above all else in the single action short reset. This applies to the standard lock work models as well.
The Omega is a service weapon, and to make it into a full boogie race gun is not something is was designed to do. 1SOW is correct on the single action conversion, there is a very good reason no one makes a trigger for this, since the liability of converting a decocker to a SAO is a law suit waiting to happen.