I think the case of that single was similar to the Beatles' "Day Tripper"/"We Can Work It Out" and "Strawberry Fields Forever"/"Penny Lane". In UK they were promoted as double A-side singles; but "Day Tripper" and "Strawberry Fields Forever" were treated as the virtual A-sides. However, in US the order was the opposite, at least for radio stations, which gave more airplay to "We Can Work It Out" and "Penny Lane".
No, I disagree. "Day Tripper"/"We Can Work It Out" and "Strawberry Fields Forever"/"Penny Lane" were both official double A sides in the UK. They were released and promoted in this form. And for the second single, if anything, "Penny Lane" was the track you heard the most.
Concerning the Stones I remember that in the UK it was "Let's Spend the Night Together" that was considered the A side. Nobody ever said to me "Hey, the Stones are number three with Ruby Tuesday".
In the USA none of these singles were double A sides since they didn't exist at the time. The only Beatles single that can be considered so is Something/Come Together which were both at number one at the same time due to a change in Billboard's charting policy.
Incidentally I adore "Ruby Tuesday" and was very pleased several years ago to eat in a restaurant in the US called "Ruby Tuesday". Do they still exist?