Used appropriately, H1B holders actually contribute expertise and productivity to US economy, which is a plus. Teaching and research positions at Universities are examples where this is obvious -- the value of having the foreign worker's expertise is direct and clear because he or she was compared directly to US candidates in the selection process and one of their major roles is to educate US students. But my understanding is that educational institutions have different rules from businesses. Educational institutions are able to choose a foreigner because they are the best applicant. Businesses must show that there are NO qualified domestic applicants. So the headline doesn't make sense to me, it's already required. They just aren't enforcing it very well.
But it would not surprise me at all for an executive order to be oblivious to the fact that this is already required. The track record so far indicates that the Trump administration does not actually understand how the government that they are now in charge of actually works. The most likely thing seems to be that they will phrase the same requirement in some way that is stupidly incompatible with the actual laws and it will just make a huge mess with so many loopholes that it will get worse instead of better. Competence is so underrated.
Economists can certainly disappoint you. One said that the economy would turn up by the last quarter. Well, I'm down to mine and it hasn't. -- Robert Orben