I'm not quite sure LLRR really helps mitigate those problems. What's to say you (or a boat crew member) didn't accidentally clip your tanks onto the wrong side? Or say you drop your bottles somewhere and pick them back up later, but you're in a hurry, or stressed, so you switch sides accidentally? It seems with LLRR you'd still need to visually confirm the your gas before switching, so in the end you're just left with a configuration that is more likely to interfere with your light canister or long hose for no other real benefit.
Which is why it's without question best practice to properly check your stages during the switch process. LLRR in reality means stashing stage cylinders either side, but no guarantee that they're in the right place.
The one exception should be for the bailout cylinder on CCR: you should know where that is at all times and most (all?) agencies will have the bottom gas bailout on the left hand side. (You need to be careful when touching left-hanging stageS to ensure your bottom bailout's definitely not moved from where you expect it to be)
Now, I'm still learning, but it seems to me that there's no guarantee any bottle is the right bottle until you've verified it, regardless of where you stowed the bottle so that would be a "problem" that exists everywhere. I don't think I've heard of an agency that suggests you should just breath a bottle without checking it regardless of where you stow it, so you should be doing proper gas switches and verification of a gas before breathing it regardless of how you choose to store the bottles on your rig, right?
It also seems to me that it could be entirely situational as to whether it would be easier or more of a hassle/problem to do all on the left, all on the right, or on both sides. Rebreather divers seem to have managed to find a way to not trap their light with it on the right as it is, as presumably the people diving LLRR probably have found a method to not trap their light or long-hose. My dive buddy learned to dive sidemount with his long hose on the left due to dexterity and strength issues from previous surgery that make the normal configuration not work for him (and BM doubles wouldn't work for him either for the same reason). For AN/DP, however, we trained deco on the left and I/we check his hose not trapped/still deployable before starting the dive, and that's how he's been diving since then. However, we were surfacing on deco gas so trying to stow it on the tank underwater wasn't an issue in that case. It still hasn't been hard to avoid trapping his long-hose so far in our diving thus far (whether the long hose tank had an AL40 or AL80 attached on the same side). When we do our trimix course I'm 100% sure there will be discussion about how best to stage his deco cylinders and what that means for us as a team.
I've seen 3 arguments against LLRR as far as I can tell:
1. You'll trap your long hose and not be able to donate it.
2. You'll trap your light cord.
3. You'll get complacent and not check your gasses before switching to them.
The first two seem pretty straightforward to avoid - do proper staging of your gear and verify it isn't trapped with an S-drill (or whatever similar method you use). The last once is as simple as do your gas switches following proper procedure. From my perspective, it seems like you can pick any method you like of staging that works for you as long as you take the time to do it right and there shouldn't be a problem. I may be missing something though.