truth be told,
Does R’ Moshe refer to it as cholov stam? I thought he used the term “cholov hacompanies”.
Anyhow, back to the OP, since there are legitimate opinions that in the US, no direct supervision is necessary for milk to be kosher (i.e Igros Moshe, Pri Chodosh) but in some countries the milk is non-kosher according to all opinions, there needs to be a third category. the three categories would be:
1) Cholov Yisroel; loosely defined as milk which fits the more stringent definition of kosher
2) Cholov Akum; loosely defined as milk which in non-kosher according to all opinions
3) Cholov Stam; loosely defined as milk which is acceptable according to some, but not all, opinions
Even those who consider “cholov stam” as, technically, “cholov yisroel” would (or at least should) agree that if someone would label cholov stam milk (from a source which was not directly supervised) as cholov yisroel, (s)he would be engaged in deception. The terminology used for this third category is unimportant as long as the consumer knows what is being purchased.