That’s far from clear. For example, healthcare costs have risen sharply but you’d need to demonstrate that hiring foreign workers contributed to that rather than simply being a reaction to the unsustainable costs.
Similarly, in education if it was just a few prestige schools it’d be easy to believe that Harvard and Yale were hiking their base rates to exploit international students while finding credits for some of the others, but the trend is across the board even at less prestigious state schools and I’d want to see data that it’s not better explained by other factors like schools maximizing revenue from student aid.