No, the miles are totalled for you as a user, not per bike or per club. I split my miles between 3 bikes - road, hybrid, and "tagalong" - but my user ID gets credit for all of them. I'm sure with the club it works the same.

Oops, I just realized it might not work that way for the clubs. I'm sure your overall standing would have your total - but probably when you look at the club it would only have the club-based miles. Rats!