Indie game developers are always looking for ways to market their games, and giving away some content for free in this way would probably be worth it for many of them.
There’s a danger that students will see indie games as being “games that aren’t good enough to be worth anything” which could be reinforced by them being given away by schools.
What would the schools get out of it?
If this worked, would it undermine students’ intrinsic motivation and set them up for failure further down the line?
What you propose is something of a Goodhart's Law violation:
"When a measure becomes a target, it ceases to be a good measure"
Do we want an economy of grades, with all the unintended incentives that would give everyone participating?