They've not just oversaturated the franchises, they've Disneyfied them. Sooner or later everything they own conforms to the house style.
But I don't see Disney carrying on with Who. They're not in the best place financially and are cancelling stuff where they actually own the IP.
There's a really interesting tug of war happening with James Bond right now, where Amazon now own the distribution rights and they're clashing with Eon, who are used to having more or less total creative control while their partners put up the money. That isn't how Amazon do business. I'm sure Amazon also want streaming content to fit with how customers consume media now, while Eon want a big theatrical movie release every four to five years to fit with how we consumed media 40 years ago. So Eon have effectively gone on strike.
That's another franchise that could do with its unofficial hiatus lasting a bit longer. Eon seem to have run out of ideas a while ago, and even if they hadn't... well, if Amazon wanted to make a spinoff Moneypenny sitcom, it wouldn't be a dumber idea than some of the things Eon has done in the past.