It just depends on what they want to do with the movies and whether Discovery gets ratings. I think it should keep going, it's a worthy franchise
Oh, the franchise definately needs to keep going, and it will. Even if Discovery fails utterly, the franchise is way to strong to stay down for too long.
But I have to say, I've had something of a change of heart about Discovery. I mean, I still find the trailer rather underwhelming, but the issues like the way the Klingons look, the uniforms and other prequel- related stuff... while I'd rather they kept more to the way things should be, I'm letting go of my fan-OCD on this. Looking back on TOS right now, I realise just how much that series retconned itself while going on, and it never stood in the way of telling great stories. And it was years before the change in Klingon's appeariance was explained, for years it was inexplicable, and we were fine with that. Hell, the uniforms swapped red and yellow in TNG just because Stewart and Frakes looked better in red. Starfleet changes their uniforms every five minutes it seems, as after all they are just costumes and need to fit the look and feel of the current production. So while I still have doubts and issues with Discovery, I'll try to be more open and positive about it. It deserves a fair shot, despite questionable choices.