I think the series would need to say something. It would have to take a stand. There would have to be an underlying theme to it. TOS was about the war against communism, racism, etc. TNG was about postmodernism and how we view things so much differently than they did in the 60s.
The other series just seemed all about entertainment and hence, no staying power.
It would be great to have a new series, but only if it was good.