An idea I had while walking the other day and seeing "GRRR!", their latest compilation:
What if the Rolling Stones had split around 1970 (or whenever feasible), but the Beatles had, like the Rolling Stones of the OTL, kept going year after year, changing with the times (or trying to), doing Farewell tours that don't actually lead to the band breaking up, occasionally losing or gaining members, and so on. Maybe a continued Beatles would be different than what the Stones were, and if you feel so feel free to say so.