It should surely be 'Does she - or doesn't she?' which is the catchline used by Clairol for many years - see
http://en.wikipedia.o...l_Advertising_History
Various celebrities have advertised Clairol. I think the original Clairol blonde was the Swedish-born actress Inger Stevens. Raquel Welch was chosen as Clairol's 'True Brunette' about ten years later, in the 1970s. But whether either or both of those ladies gets you anywhere close to the answer they're looking for, I've no idea.
This doesn't strike me as a fair question.