If they were outside the US we would try to get them here. If not, we would find a spot for them outside. We would never hire a less qualified person simply because they could work in the US. We were always behind, to the point that having open “headcount” in an org was worth little, what you needed was priority to get a new hire.
At one point we were “parking” Australians in Dublin, having them work there for a year or two until they could get a visa for the US.