I do not think that one can say
Hadrian was opposed to drapery, quite the opposite he was a renowned graecophile, and is often pictured as such with the appropriate drapery.
I think the poster is actually trying to affirm that the drapery on this coin in itself is badly
tooled and unrealistic.
An example of
Hadrian with "real" drapery:
Although on alot of
his emissions he is represented as follows:
Unclothed on the shoulders, perhaps the poster was mistaken and thought that
Hadrian was only depicted in such a way. This is unlikely I'd venture and is simply because the engraver has chosen one of these "unclothed" Hadrians and tried to apply non existent drapery to
his victim.