> If the people aren't there, wages will rise until they show up. Most labor shortages aren't an actual shortage of labor, unless you genuinely can't produce that skillset domestically, or your labor market is so tight that no one is unemployed; rather, they're a shortage of wages

I don't know about this in the US. Sure, we're not at full employment, but I don't know how factory jobs are going to change that. My impression is that there is already a deficit in labor willing to work hard for good pay (construction, trucking, etc.,) and tightening immigration policies will make this even worse.