No it won't be "lucky". It'll be a very dedicated effort to give it a good budget (probably larger than Supergirl) and most likely a much more expansive production effort.
RAMA
RAMA
First off, Supergirl is awesome, and Star Trek will be lucky to have its caliber of production values and visual effects. Second, CBS is also the home of Person of Interest, which has become the smartest and most compelling hard science fiction narrative on network television, and Elementary, one of TV's smartest and best-written procedurals. Of course not every show on a network is going to be equal in quality, so it makes no sense to generalize.
And Meyer isn't strictly on the writing staff, I think. His credit is consulting producer, which this site defines thusly:
So if Bryan Fuller is Captain Picard and Alex Kurtzman is Admiral Nechayev, Meyer would be, ohh, Guinan -- the experienced elder who's along for the ride and advises the captain but isn't part of the command crew.