And equally at many "bigger" class D airports, both sides may be in use at the same time....i.e. someone joining downwind RH for 26 at the same time as someone joining downwind for 26 LH.
Also, there may be a jet circuit at a higher altitude, EGHH for example have a turbojet circuit at 1500', so try an overhead join and you may meet a Falcon coming at you....