This is what has happened in the UK. On one of my trips in 1999, the BBC reported a shortage of over 10,000 doctors. A subsequent trip had local folks complaining about the “English as a second language” (my term, no theirs) set of doctors they had to visit. I understand the shortage is now greater.
You touch on a HUGE problem — American liberals actually believe the UK and Europe have some monopoly on intelligence and must be emulated. They’re like schoolgirls who meet a boy with a British accent and faint dead away. That boy might be an idiot, but they don’t care.