Pure genius!
Or maybe the classic upcharge model where you can buy a StrollerPass subscription that lets you use premium stroller parking areas. And maybe they could use automated parking garage technology for these to have secure storage as a feature as well! And if they really want to go all out they could have the retrieval area be closer to the attraction exit.
As another feature, they could have a smaller size limit for StrollerPass and thus encourage the use of smaller strollers in the park.
They could even use a freemium model and allow you to use premium parking once for free - or maybe a whole day free if they know you're on a multi-day pass.
The free StrollerClassic parking areas would be relocated to behind the attraction space to make room for the premium areas.