The main point is that even with the prior administration, it wasn't a given Intel would receive all the money. This way, they get the full amount, and fast.
They had that money in the bank (and much more) when they lobbied to get the CHIPS act passed. They want the money.
So yes, this is all about getting the rest of the money.
The administration is deciding they should not get it for free. Which totally makes sense given that Intel is openly signaling a willingness to halt semiconductor research.
So taking a scholarship means you're giving a % of yourself to the school?
Was this ever mentioned when Intel signed up? Did you know about it?