I doubt they will do the same unless it becomes a problem which I doubt is anytime soon.
I've rarely seen strollers at Universal, but Disney is another story. You will literally have a sea of them due to them having designated parking areas to keep guests from randomly parking theirs wherever they see fit. I hope it cuts down the amount of people using it for their children that do not need them anymore, but happen to be fit enough to chill in, or carrying their merchandise.