It depends on how you weigh each show. Only you can answer the question.I mean, when I rank the official shows (discounting both after-shows) I generally go:
1 TOS/TNG/DS9
2 Lower Decks
3 Short Treks
4 TAS/Enterprise/Voyager
5 Discovery
6 Picard
So the original series and two of the Berman era shows top my list and two of the new shows are on the bottom. On the other hand I like two of the new shows more than half the Berman era and TAS. So...where does that put me in the new vs. old debate? How will that change when Strange New Worlds and Prodigy start up? I've liked Discovery a little more each season; will that pass TAS/Enterprise/Voyager before it's done? How do fan films/shows factor in, especially once more start taking from the new shows? What about the expanded universe, especially stuff that encompasses all eras like Star Trek Online?
If it was really worth your effort, you could assign a number value between 1 and 10 for each show (measuring how much you value each show) and then add those values up to get a total value of each era in the poll.
For me, it is definitely easier to choose because I like everything from the former era better than the latter era.
It's more about which styles of Trek shows you enjoyed watching most than it is about which show was the building block of other shows. That is what I was really trying to get at. We enjoyed the former era because we became accustomed to the styles of those shows (and those shows set a precedent).If you want to look at it like that, then: TOS reruns, the first four movies, TNG on TV, and the Abrams Films.
The End. Without those four, the franchise as we currently know it isn't possible.
TAS, Movies 5-10, DS9, VOY, ENT, DSC, PIC, LD, and Short Treks are secondary in importance when it comes to the overall existence of The Franchise. Not the same as "not important", but secondary nonetheless.
EDITED TO ADD: Bear in mind, I just called a good amount of what I like "secondary", so this isn't based on my tastes. It's based on my reading of the history of Star Trek.
Without TOS's success in reruns, it doesn't return as a film series. Without those first four films proving Star Trek can be more than just a show from the '60s, you don't have demand to bring it back as a show for the '80s in the form of TNG. Without TNG, you don't have DS9, VOY, and ENT. Without the Abrams Films, you don't have evidence Star Trek can be brought back from the dead, and then you don't have any of the Streaming Series.