Auster, like the Tiger was swung from behind port side, but with the side window open to allow you to get to the switches quickly. I've seen PA28's swung from behind, starboard side of course, but I didn't like the feel of it and have only done Yank engines from the front, but acutely aware of an escape plan etc. The Chipmunk,.. well I, and most all I know swung it from the front in an upwards motion with the right hand. Seemed sensible if the action had you walking away from the danger.
Saw a mate successfully swing a Chieftan once. Port engine. But really, I would consider alternatives before I tried it on something like that.
Given how many times I've been in the boonies with a dead battery, (PA-22 had switches under the pilot's seat which made for common flat battery's), the proceedure should be taught, or at least demonstrated.