Fact is... there is no proof that shaven or unshaven armpits make one smell better or worse.
Not if you just bathed. But pit hair creates a better climate--warmer, moister--(and more surface area) to collect & trap body secretions & the growth of bacteria that feed on them.
Sure it does... but having lived among some of the nastiest smelling people the last 13 years, I truly believe it has nothing to do with armpit hair.
The summers here in Kuwait are brutal and I'd like to believe that the last shreds of deodorant clinging to my whispy armpit hairs after a full day get me through the day without offending anyone.