Every piece of equipment has an engineering goal it is superbly suited for.
..yep...and the Spare Air wasn't designed for scuba diving. It was an 'escape bottle' for helicopter crew that ditched in the sea.
Let's get back to basics. Every diver gets taught a series of emergency procedures/skills in the event of OOA emergency.
If you run OOA, the first resort is AAS share with your buddy. If that isn't possible, then you complete CESA. Easy.
However,
if you are too deep to safely complete CESA, then you need a suitable redundant air source. Note the word
suitable. Spare Air is unlikely to supply enough gas, under emergency conditions (elevated SAC) at any depth where you couldn't otherwise complete a CESA (deep dives).
Adding a Spare Air..for the purposes of reaching your buddy for AAS... is just
fuddling your emergency reaction chain. It slows down your reaction and distracts you from your life-preserving goal - that being to
get to the surface ASAP.
What if you failed to reach your buddy and your SA expired? No air + deep = dead.
What if you reached your buddy, but they had insufficient air to support both of you for the ascent? (You are OOA... they might well be low on air also!). No air + deep = two dead divers.
Basically, you can either CESA or you cannot. If you are going to dive beneath a depth where you are confident of performing a CESA, then you should have a
suitable redundant air source for that ascent.
At no point are divers taught to go wandering around the seabed attempting to catch their buddy when they are OOA... especially when they only have a Barbie Doll sized cylinder on which their life depends...