The angle adapters are required if they're coming up from under your shoulder, reg hoses don't like to bend in tight radii, so it is to ease strain on the mouth on the primary.
On the secondary, running it under the arm creates problems with the suicide strap because the reg will want to rotate 180* and fall out because of gravity, by keeping it routed the way it is, it has a harder time pulling down, it also keeps the hoses from getting entangled as easily.
I started diving this way as a way to avoid the 7' hose in non overhead environments while diving doubles. The 44" hose with adapter is plenty long enough for comfortable buddy ascents *the adapter adds an easy 5" to the length of the hose, meaning you can comfortably be 5" farther away from the second stage than you could be without one*, so it is only marginally shorter than the GUE minimum of 5' long hose. With that being said, with the original use in doubles, the secondary hose rests against the back of your neck for most of it's way across the back, so in a singles setup the shorter the better to keep it from bowing out. If it was run underneath it could also create a potential for entanglement during long hose deployment which is why GUE keeps damn near everything on their left side.
The pictures are also really terrible with tanks being really low on the wing, so the routing looks a bit off. I'm surprised their pictures don't have the primary running from the 5th port which would streamline that setup even more, but oh well. Hope that all made sense.... If not, I can rig up a set tomorrow and take a few pictures