Sure - just because it's free doesn't mean you have to go.Then what standards to the Universities go by? Who do they let in? I've noticed generally that people who actually want education, usually go and get it.
Take the GI Bill for instance. Only about 30% of veterans actually use any of it at all. Not just including retirees have access to it.
I assume entrance standards wouldn't change much. Personally, I think if you have graduated from HS and want to go, you should be able to go. It's possible we wouldn't have the infrastructure in place to handle everyone who wants to go, but we can adjust if that's the case.