For AN/DP I was taught to put the deco bottle(s) on the left, I don't remember if the materials discussed it at all.
The TDI Trimix course teaches lean left/rich right as a good option and, other than mentioning that you should be careful to not trap your long hose, it mentions benefits over putting all bottles on the left but no cons (definitely seems to promote that technique for attaching bottles in my opinion). I've only done the e-learning so far, but from my conversations I believe the standard method my instructor teaches is to put all on the left.