Yes there are a lot of companies, and yes people and companies can lie. I'm not really sure how this negates what I said or my view on the matter. Globalization is the antithesis of the America First movement.
Some industries do face shortages in short term skilled labor supply; they might be able to get more people trained up in 5-10 years, with enough investment, but you can’t get a journeyman ready in three months. Others just want more supply, to reduce labor costs and make domestic production cost-competitive with foreign equivalents. Neither of those groups is lying.
Then let them go through the immigration system, get a green card and start working in the US. The original thread here is me saying that it should be illegal / there should be penalties for hiring abroad when there are plenty of skilled American workers who are being turned down for the jobs which are going to cheap foreign labor.