I would believe that current statement over the website in this case.

And not sure if you’re aware, but there’s like a few dozen visa categories that allow immigrants to work. The hype around H1B is entertaining though!

My expectation of what is true doesn't change much.

Going to assume political motivation and discrimination until that happens.

Hiring a foreign worker before hiring an eligible American is discrimination indeed. It’s your civic duty to apply to any and all open H1B jobs.