I agree this is a great path to immigration.
I think there needs to be some more oversight though, and if we are controlling immigration numbers, then the number of students should be factored in. You can't just make it a loophole to get around our controls.
Another reason for oversight would be to stop those go-nowhere colleges from preying on international students with programs that don't give them a respected diploma or even transferable credits. There are a bunch of them, and they are very expensive (particularly for foreign students), and leave their grads in the lurch when they're done.
You can show the log and see dice rolls.