This issue has been discussed many times before here (you can find the other threads if you look), so here is what resulted:
R’ Moshe allowed any milk in the US.
The b’shas hadchak wording was in a specific case, in a letter to a yeshiva that was thinking of switching from cholov Yisrael to regular milk. It wasn’t for the general population.
He did say baal nefesh yachmir for everyone.
R’ Yisrael Belsky now has a different heter for any milk. It can be found on the OU website. It differs from R’ Moshe’s heter in many ways.