This used to be true.
I've been involved with the medical care of refugees since 1975. They used to arrive with a folder, often tied around their necks, with their chest Xray, medical screening form signed by a US MD and US consular official overseas, and lots of ID details.
Since 2001, this has completely fallen apart.
Now, "refugees" can be met at the airport by their sponsors, loaded into a cab or ambulance, and sent to the ER with high fevers, incoherent, coughing, etc.
Since the ascent of Bush 43, we have had active TB, histoplasmosis, HIV, malaria, and other diseases arriving direct through the refugee process.
I have no idea if the system is overwhelmed, has been ordered to stand down, or some combination of both.
All I know is that the screening that used to occur overseas either no longer happens, or is being ignored for selected cases.
I’m inclined to believe this.