@Sh0rtBus
two problems, one mitigated more easily than the other
With non reversible regulators, the left hose will cross under the diver when air sharing. This decreases the effective length of the hose, causes interference with kicking as the hose floats into the diver, and causes excessive torque in the mouth of the diver the hose is cross to. With a left handed or reversible regulator, this problem goes away, but then you are limited to about half a dozen second stages on the market *Apeks XTX series, Poseidon x3, Dive Rite XT, and Hollis 500se/Oceanic Omega*. Not a huge issue, but it is limiting. This is why I am vehemently opposed to those that dive with the long hose on the left, short hose on the right, like Dive Rite used to teach. I'm 6'4" so I use a 9' hose when diving sidemount because a 7' is barely long enough, so to shorten it that much more is to me as unacceptable as diving with a 5' hose.
Second bigger issue has 3 compounding factors and all center around the hoses crossing your body behind your neck. In the standard "Bogaerthian" setup, the left side bottle crosses behind your neck to the right side similar to backmount, and the long hose goes from right to left and back to right, also similar to backmount.
First one is the crossing allows some extra length to be put in the hoses to make turning your head more comfortable. If the hoses come straight up to your mouth, they tend to tug as you look away from that bottle which is a little annoying.
Second one is jaw fatigue is compounded by your mouth having to hold the weight of the hose and regulator, plus the torque caused during head rotation. This is especially uncomfortable in high-flow caves, high current in the ocean, and on a DPV.
Third one and arguably the most critical is that the hoses are much easier to get ripped out of your mouth when squeezing in true sidemount passages. When the hoses are crossed behind your neck, they can't pull straight down, but if they run straight up to your mouth, they can get ripped out quite easily. This is only a safety issue for those that dive true sidemount restrictions, but it's a very real concern.