Actually, it's my understanding that the donor (not the OOA "terrified buddy" as you described) uses the Air2 or SS1 alternate (at least that's the way most of the Manufacturers intended and that's the way it's demonstrated via PADI), and in an OOA situation the donor must take their own primary (from their mouth) and give to the OOA diver.
You are (perhaps) correct in that a "terrified/panicking" diver who is suddenly and unexpectedly OOA may simply "grab" the first available air source, and being that either the Air2 or SS1 is on a shorter hose (and farther for that diver to reach) such a panicked diver would perhaps grab the primary out of the donor's mouth anyway...forcing the donor (willingly or not) to use their Air or SS1 alternate for themself.
Regardless, ALL divers that use such types of BCD-mounted alternate air sources MUST be familiar with their use and must PRACTICE switching back and forth--the concept of taking a "perfectly working" regulator from you own mouth and giving it up to an OOA diver--and having to find/clear the AAS to re-establish your own breathing-- has given pause to many a diver and is (and continues to be) a heavily debated subject.
If you have heard/seen otherwise I would be interested to know..
Cheers,
HB