Akimbo ya your right, SSA is just a term us young little sh$Ts use there are some companys that are using scuba for inspection work out there.
What happened to simple air dives and Scuba? Naturally Scuba in the commercial context is air and any dive that is not on Scuba is surface supplied.
Anyway: In that case a 40-60 Lb wing can save time on a few shallow air jobs. Attaching bolt-on anodes to a hull is one. Moving large hydraulic impact wrenches mid-water under platforms/piers or rigging multiple come-alongs is another. Sometimes the job itself is quick and mobile enough that it takes more time to rig and recover hog lines and tugger blocks than it saves.
It sort of depends on local technique. Divers taught by cold water heavy gear and drysuit divers get used to inflating their suits for carrying heavy crap. Warmer water divers tend to rig anything heavier than they can swim. It is still hard to beat heavy gear for running a jack hammer in cold contaminated harbors. The suit is a BC.
I have noticed that some guys won't wear fins no matter how useful they might be on some jobs while others can walk in fins as easy as in Wellies (Wellington rubber boots for non-Brits). It seems like the French like fins, Brits prefer boots, and Norwegians don't care — but that is such a broad generalization it probably doesn't mean squat.
I don't see diver-mounted wings much because of potential malfunctions on decom profiles and the hassle setting up. Filling a lift bag with your pneumo works, but is not as fast to fine-tune for shallow off-bottom work.
Rigging a wing to a bail-out harness is a no-brainer. Just tee in before the check valve for the BC hose. I can't remember who makes them but ¼" NPT to 3/16" straight thread ports are available — CPV maybe??? There are only a few wings that are rugged enough for commercial though — I can think of two.