It's a good question. The man in Salem by 1638 is in the Great Migration Directory, so his profile would be PGM. But Anderson indicates that there are just two grants of land demonstrating Henry's presence during the time period (Salem Town Records vol. 1 pp. 74, 80, 87, and 89). I would probably infer from this that Anderson did not find the evidence compelling that he was the man of the same name in the records you cite on his profile beginning in the 1660s.
So unless you can provide such evidence (like a later sale of land fitting the same description of that he obtained in the 1630s, but the descriptions were so vague that that could be impossible), then I would say the answer is that he should probably *not* be added to PGM. Indeed, I might move the discussion of records from 1638 on his profile to a research note on the profile and indicate that there is no compelling evidence other than the name and the place to indicate he was the man who came in 1638, and that the time gap before later records is concerning.
