This depends on what you mean. If you used to have weekly adventures and weekly experience checks, and now have seasonal adventures and seasonal experience checks, not much changes (except that the PCs slowly age). That is, they get the same amount of experience per play time, but not per in-game year. The game will feel and behave much the same, experience-wise.
If you play weekly adventures with seasonal experience checks, then this changes dramatically, and likely not for the better. In this case, it makes sense to give the PCs experience checks when they manage to get some downtime instead, like several days’ R&R. They probably shouldn’t get any additional experience for profession and cult if they are this busy.