I refer you again to my earlier Amazon example. Try and absorb it this time.
And HMV high street and HMV online do/did have different names: HMV and HMV.com. I refer you to the Compare The Market ad currently on telly - “Diffferent names, spelt and pronounced differently. See?”
There is no need to be sarcastic. HMV and HMV.com may indeed be different in that sense but that doesn't mean anything. Many companies have such websites in addition to their shops but they work together. HMV.com also use the same logo as well. If HMV happened to be your initials, you may want to run a business called HMV and have a website, but you sure wouldn't use their logo because that WOULD be misleading, yet HMV.com still use it which would lead people to think they WERE connected!