To me, Rolex or omega for 007 simple doesn't matter. The 007 endorsement, if anything, cheapened the watch.
I admire real people in the real world and not some fictional character (I do watch Bond though, but I am not an 007 wannabe). And which brand 007 choose, is simply a function of which brand paid the producer more.
Btw, in Ian Fleming's book, 007 wears Rolex Explorer, and I supposed Rolex didn't pay him for endorsement.
Back to the topic, I do dig the moon watch story because it is real tool used by real people in mission that is really important.
Also, omega paid NASA nothing. They just produced a better watch (back then).
That said, if you pitch Omega vs Rolex, I will pick Rolex anyday.
I like their stubbornness in making good better. Their engineering, material, precision is simply very good.
And I also like the fact that they just do what they did, do not pay too much attention to fashion.
Rolex Submariner looks the same for the untrained eye - from 1950-2015.
Omega Seamaster series? I lost count of how many different varieties out there when it come to size, colour, and the dial itself.
The first DOTM was great. Second was OK. But now, I cant recall how many was launched earlier this year? 3/4 different colour?