I own a 2013 model P-09 and briefly owned a 2014 model P-07. Both had the same Omega trigger, and I'd call them "fair". I don't own the P-07 anymore, but it had the exact same trigger (and trigger feel) as the P-09, so I'll refer to it but my comments apply to both. The DA pull is decent. There's some staging to it, but it's pretty smooth. The SA pull is also okay. It's certainly light enough, but there's a lot of take-up and it's pretty mushy in my opinion. I guess it does give you a surprise break that some like, but there's a good bit of travel to the SA pull before it breaks. I personally don't care for that too much. That's obviously on the stock trigger...upgrades are certainly available. But out of the box...I call it "okay". I'd personally like for more of a "wall" to build before the break. Trigger pull "walls" don't have to be stout. 1911s often have fairly light triggers, but the there's a definite "wall" and a very short pull...but they're obviously SA only.
I sold our P-07 to buy an M&P Shield, and to me, that Shield has a wonderful trigger. It's widely regarded to have an excellent trigger, and Smith is actually replacing the triggers in the rest of the M&P line with the Shield's improved trigger system. It has a little bit of free take-up, but then the "wall" very quickly builds, and it's a very crisp break. Some call it a "glass rod" break. I mean, it's crisp. It's a pretty decent pull (I think it's rated at 6.5 pounds), but it's a short and very sure stroke.
I know that you certainly can't compare internals of these guns (DA/SA vs. striker-fired), but in terms of triggers and how the Omega compares to its broader market competition, I call it "okay". But that's just my limited experience...and the shortcomings I listed may simply be part of how DA/SA systems operate. I don't think the Omega is a certain stand-out compared with broader market competition, but it may be one of the better ones when compared against DA/SA pistols.