Good point. Probably not. It needs some sort of outsider status. Which star trek doesn't really have any more but that's debatable.
It's bigger than Twitter was in 2012. Could you imagine a journalist in 2012 calling Twitter a cult website?
I agree that in the context of journalism it's a loaded term that's probably not fair.
The outsider status is about more than the user count though. They maintain that status with all the weird stuff they get up to.
They're up to 284M: https://about.twitter.com/company
Of course I can't really back this up with anything as it is just a feeling.
At least, that is how I always interpreted stuff like "apocalypse now is a cult movie".