They might, it'd depend on the setting they're using. Would they use the universe created by the recent movies, something around the same time and universe as Online, or something after Picard and the Enterprise E in a universe that ignores the Online continuity in favour of a homebrew timeline? You gotta remember, film and television are two largely different beasts. TV, typically, has a longer timeline to work, they can put forth more effort into stories, they can create more detailed characters and make characterization more gradual and complex. TV, as a medium, offers more potential complexity than 90 to 180 minutes of movie, even if your movie turns into a series and runs as long as Harry Potter or Lord of the Rings.
Granted, we won't have the Roddenberry touch, but it could still be good, and smart. There's more to do in the galaxy, there's more to do in the universe, and something like Star Trek will always have potential, just like Doctor Who.