“it still boils down to one simple fact. Whether a Jewish person person was present at the milking process or not.”
Chalav Stam is easier to say than Chalav Shel Hakampanies. It doesnt matter what it is called. Call it ivnuidnutituoid if you wish. Whether one drinks it or not is not dependent on its name, but on the Psak of R’ Moshe Z’l.