That's BS. Apparently many people think that if they write it on the internet, with no documentation, that makes it true, and everybody should believe it. (Unfortunately, many do, which is a big reason this country is in such a clusterfuk now.)
I did numerous physicals back then on run-of-the-mill Mexicans working in AZ, who signed up for the amnesty program, and exams were documented on US govt forms, mainly to prove they didn't have STD's, TB or other communicable diseases.
"The legalization provisions in this act will go far to improve the lives of a class of individuals who now must hide in the shadows, without access to many of the benefits of a free and open society. Very soon many of these men and women will be able to step into the sunlight and, ultimately, if they choose, they may become Americans."
Ronald Reagan
https://en.wikipedia.org/wiki/Immigration_Reform_and_Control_Act_of_1986