I have a number of different brands of bows, and switch to another one every few weeks to every few months, depending. The first morning I go out with one I haven't shot in a while, I notice the difference, because of a different trajectory and different feel, particularly if I'm switching from a shorter bow to a longer length bow, or from a recurve shooting carbon to a longbow shooting wood. After 2-3 times, I feel fine with it. If I'm switching to a heavier weight bow to hunt with, I'll give myself a couple of weeks to get used to the heavier pull.
All my bows are cut past center. I don't think I could switch as easily from a bow cut past center to a bow that was only cut to center, and particularly if I tried to switch to one not cut to center.