I don't think there is much 'tradition' about it. I'd say that it is primarily to do with hose routing - which is mostly determined by the port availability on regulator 1st stages. QUOTE]
Correct, If you want to go back to when the SPG first started to be seen on the left side you need to go back to the early to mid 60s when SPG were used with double hose regulators using a banjo fitting. If you run a banjo down the right side it can interfere with the valve knob. If you run it down the right side there is no interference with a J-valve.
Just about all single hose regulators from the 60's to today mirror the process of a Double hose regulator, the air from the tank feeds from the right, exhausts to the left, and the SPG/banjo was on the left. Lets, go to the US Diver Conshelf series regulators of the 1960s and 70s, the 2nd stage comes off to the right and feeds over your right shoulder and the SPG came off the left side to run down your left side. With the CONSHELF XII a 2nd LP port was added at an angle to the SPG so that a BC inflator could be added.
So Why does all SCUBA equipment allow/favor the SPG to come down the left side Because the equipment of the 1960s and 70s was designed to run it down the left side, not due to any other tech type requirement or practice. All of these other statements or arguments only give reasons why it should stay on the left side.