Yeah, definitely agreed. 'Caching' things that are uncritical to the current demands of user are is strongly unefficient - in the big picture, obviously.
I imagine that migrating an API to your own is going to be quite a challenge. But getting under consideration all the things you've already done I think you will manage :)
Nonetheless, thank you for answer! It's very satisfying to get answers about the Busy straight from its developer.
RE: My Busy.org November and December report: Server-Side Rendering, AMP, and a lot more