Absolutely. I don't think they will be happy.

So many great students will be off the market. This will affect to the whole tech space. No way they will be happy with this decision.

Not from the US, but is a green card actually necessary to work there after studying? afaik student visa is different from green card right?

Most countries, you get a visa of some kind but you have no way to permanent residency at all unless you marry but you can keep staying there somewhat permanently.