Well, I do suspect DW will have a rest soon. But it'll be when Chibnall leaves and it'll be hard to find someone to replace him who would be willing to do all the worked required to keep an already complex to produce show going and find a way to rejuvenate a long-standing program. That person has to be willing to do all that for an existing program rather than working on a new program of their own invention. It's a tall order.Time for my heretical view, with which many of you will not agree. The Beeb should probably wrap the whole thing up in the next couple of years and then never commission another series of Doctor Who ever again. I think it's fine having a female Doctor, it's just that I think the pool of story ideas was exhausted long ago and attempts to keep things fresh haven't worked for long if at all - flashes of brilliance and then periods of absolute drivel. We could do with something completely new to obsess about. I'll get my coat...
A rest is likely until such a person can be found and interest builds up.
On the other hand, it'll always be possible to find someone will to play the Doctor.
So, the showrunner is the tougher part to fill.