Well, there's an argument to be made that importing talent doesn't necessarily make _America_ (or its citizens) stronger, but just the owners of a handful of mostly privately owned American corporations.
I can argue that cows are hats, that doesn't mean the evidence [1] supports it.
[1] https://www.sciencedirect.com/science/article/abs/pii/S09275...
My parents were immigrants. Most people I know had parents or grandparents who were immigrants. America, as a whole, is built off the backs of people from not-America. That's our entire thing, we're the melting pot.
Raising taxes and cutting funding to universities will almost certainly require the graduate-student population to be culled.
Disarticulating the effects is a statistical, not practical nor even potentially empirical, exercise.
If "there's an argument" to be made, then make the actual argument. Don't just lazily reference it and expect everyone else to fill in the gaps.
A university on the other hand does get to look through the applicant pool and decide who to admit.
But buying more lottery tickets does in fact improve your odds of winning. So your comparison breaks down because it undercuts your point.
The fact that you have no a priori knowledge of what is a winning ticket is not the case with college admissions. It's actually the complete opposite! You have a great deal of prior knowledge and odds of academic success. So, the lottery is a poor comparison in that regard.
Further, the lottery will always bankrupt you because the tickets have overwhelmingly negative expected value. In the case of education, every single study on it indicates extremely positive outcomes. So in fact, adding more seats and getting more students in college, all else being equal, is likely to have a positive economic outcome. If $1 dollar lottery tickets paid out $3 on average, the more you buy, the richer you would be. So again, the lottery is a poor comparison.