No, that's not the same thing. You can think about it all you want, but if you're not managing it and not bringing in money then you're not viable. Trek as a property was being managed and continuing to make money with new and existing merchandise. That's an ongoing business. It was also still well known and widely recognized with an engaged customer base.That's what I said. Under your definition, as long as someone thinks about it, it's still alive. That definition is next to useless.
You can argue JJ broadened the audience as was done with TNG, but he didn't save the franchise because it wasn't a forgotten and ignored write-off.