I had to do that once. We had just arrived at our hotel and I blew my knee out.
The Mrs and I pushed/rolled a wheel chair around EPCOT. Next day, we rented an electric cart and I rode that around. Got put to the front of the line and everything.
Hated almost every moment in the cart. It’s hard to hold hands and not drive over her.
One of the better things that happened was one of the Citizens of Hollywood, Jim Diamond, who is a personal favorite of mine, gave me a private slight of hand/magic show. That was fun.
Besides, the parks aren’t that big. Just sit down for a bit if you get tired. Leave the wheel chairs for the people who need them is my philosophy.