The F-1, B-1/B-2, and J-1 and VW all require one very specific thing: non-immigrant intent. Meaning that the person will go back home when finished. That the person is married to a U.S. Lawful Permanent Resident gives the impression that they will eventually try to stay in the U.S. and they cannot authorize these types of visas with that type of intent. They would have to try to apply for a dual-intent visa such as an H-1B or an L-1.
