If you spend less on one thing, you can spend more on other things (or tax less), so I don't see how that follows.
> How does subsidizing education, thus creating more college graduates, increase the value of a degree?
I would think about it like this instead: subsidizing education lowers the cost, making it more attractive than it otherwise would be compared to the alternatives (e.g., trade school).
For example, if the government decided to subsidize Ford car purchases, more people would buy Ford, right? Doesn't mean Ford cars became any better.