Well, I'd agree that just typing "Friday" would always mean the next Friday on the calendar, or at least would on the (logical) assumption that dates are always in the future, so it's not "Friday just gone".
An option I don't know, because I'm not sure how you'd define it, given that I see people changing what they mean by "next Friday" depending on what today is and the context.
Don't get me wrong, I like the idea of natural language entry, and think that having Friday always mean the next Friday on the calendar, and next Friday mean the Friday after that is totally logical, so that if we had to have it and only one way, that'd be it, but I just think it'd be "wrong" in many people's minds. I can think of loads of situations where people normally use "next Friday" to mean the next one on the calendar, such as when speaking ON a Friday, and worry that they'd apply the same here.
Mark