All publicity is good publicity, whether it be good or bad.
I'd like to contest this. This is true for personalities such as Trump who wants to get people talking. For products and services, though, bad publicity is bad publicity. Would you spend your hard earned money on a product which only ever generates bad press?
As to how this relates to Bitcoins, publicity actually plays a major role. Bitcoin value is for the most part dictated by supply and demand, and bad news, such as China shutting down exchanges can affect its value. I'm glad it rebounded, but China's chain of events plunged us to below $3k, so I won't say that was good publicity.