In my mind it has always been named simply 'milk tea'.
As opposed to 'Thai tea', which is a milk tea too, just the flavor and color are kinda specific. Besides, Thai tea in most places is really a 'Thai iced tea', I gave up on asking if it could be served hot (which it could, and tastes good too).
Meanwhile, the milk tea in most shops I've been can be served hot or iced on demand. Moreover, the kind of tea used can also be selected.
As opposed to 'Thai tea', which is a milk tea too, just the flavor and color are kinda specific. Besides, Thai tea in most places is really a 'Thai iced tea', I gave up on asking if it could be served hot (which it could, and tastes good too).
Meanwhile, the milk tea in most shops I've been can be served hot or iced on demand. Moreover, the kind of tea used can also be selected.