In my Alumni magazines, I see stories of people who attained status and success in their foreign homelands, after studying at my schools at various times over the past century.
My personal experience of the influx to my schools of Asians (from all regions) goes back 50 years.
I have no evidence that American schools were aggressively recruiting them back then, although I certainly heard grumbling from classmates assuming that was the case. This may have been because of the Asian grad students trying to teach courses without being able to speak intelligible English.
The cultural norm amongst young people in China today is “If you have half a brain, why are you still here?”
Most of them yearn to study abroad, and then by hook or by crook find some means of remaining wherever they went as permanent residents.