Certainly this is not false alarm. AdwCleaner has long been a (very) dangerous and I would say - very dangerous malware. It may do a great deal of trouble for You, if you are not extremely careful.
If I really need, I just use PrivaZer, which does a much better job than all others, incl CCleaner and AdWare Cleaner!
Be Aware, this utility lists KMSpico and associated files/folders for removal.... Decent tool though...