Historically, Rolex ate Omega's dust until the Swiss crisis in the late seventies. In fact Rolex wasnt even a real manufacture until the onset of the cal 15xx series and not fully a manufacture until it ditched the Zenith chronograph for one of its own making.
If we are talking about brand perceptions, that's another story. Generally speaking, in emergent and mature Asian, Russian and some European markets, Rolex is perceived to be an older generation brand whereas Omega is perceived to have more cachet amongst the 25-39 demographic. In the US Rolex has perhaps more status as it does in one or two other Western countries. But shared perceptions of status are just individual hallucinations that have gone viral and are easily manipulated by peers and advertising, hardly the stuff to make an assessment on which brand is "as good" or "better"
The Sky-Dweller Cal 9001 shows the lessons they've learned from the Cal 4130/4160 Daytona / YM2 movements, which are a decades ahead of Cal 31xx, and that 9001 in its uncomplicated form will probably be the time-only movement Rolex uses to combat the onslaught of new in-house movements now that ETA is forcing manufacturers to make their own.
