I think you are correct in your prediction. The trend in the world is toward more forced vaccinations, and I see no indication of that trend reversing. Currently however, in BC at least, doctors and nurses simply inquire verbally if you are up to date with vaccs. I always say yep, and go on with life, unvaccinated. So, until some kind of vaccine passport is developed I think we can breathe easy.
I actually rarely see doctors, and the last couple of times I did for some minor misshaps, the doc was coming at me with a tetanus shot. Had to literally hold him at bay, lol.