Sure, the experience would be different. For that matter, your training under Mitsugi Saotome is vastly different than the experience that you would have had training in Iwama with Ueshiba - even the etiquette was quite different. Does that mean that what you do in D.C. is not Aikido?
it MIGHT NOT be if the instructors at my dojo all decided to start conducting class exactly as they do in Iwama.
More relevant, it might not be Aikido at our dojo anymore if we began restricting hakama to yudansha!