One of those funny things: The whine COULD be a good thing.
My brother installed a Saleen supercharger on his '05 Mustang...actually drove it to Steve's shop in SoCal and had it done on their regular production line.
He was talking to one of the technicians and asked how much noise it would make. The technician laughed and said that he's actually replaced installed superchargers because people complained they were TOO loud. Thing is that if a [Roots type] supercharger is loud, that means the tolerances are tighter, meaning it is achiving more efficient compression which, in turn, relates to higher pressures and better performance.
Like I said: I have no clue what that has to do with a HST in your BX, but if there aren't crunching sounds, I'd call it good.