Probably wise not to fly left handed unless you have to, but in order to set transponder codes, mixture, etc. there is no choice but to hold the cyclic in the left hand. It does become second nature. I find myself flying lefty for extended periods without even thinking about it. I dont do it low level I dont think.
My one and only engine stoppage occured while left hand on cyclic because right hand was otherwise occupied. I seem to recall lowering the right collective. It was necessary to swap hands on the way down to try and get it going again as the only start button is on the end of the left collective.
Heres a picture. The right collective goes where the centre cushion is.
Try setting that transponder while still holding the stick with the right hand!