I have had a secondary uncontrollably free flow under water exactly once. The situation was different; filling a lift bag at 85 feet in a lake, I presume because of the cold water at depth. It can happen. (And I'll admit user error here, for safety, I should have had a separate cylinder and reg set to fill the bag given the cold water at depth. Even so, one quick push of the purge button was all it took to start the flow.)
If I'm understanding the OP correctly, the presumption is that the secondary might free flow uncontrollably on "first breath" or perhaps if the user clears it using the purge button. But it doesn't have to be free flow; any failure where you're swapping a known working second stage for one that has not been in continuous use is the same notion. So the question then becomes who gets the potentially free-flowing or otherwise failing reg, the victim or hero? I think the OP assumes it's better for the hero to not be distracted dealing with a free flow. It's the whole "don't be the second victim" concept. On the other hand, you could argue that the victim is panicked and the hero can manage better than the victim. I'll be honest, which I'd rather do would depend on who my buddy was, my child or the random stranger on the dive boat? (Of course this presumes I know who I'm diving with and how much I love them....)
Both techniques work presuming the user does it correctly. The "what ifs" around secondaries not being properly stowed or users taking two much time to donate could apply with either technique. I suspect we just don't see it as much of a problem with primary donate because folks doing primary donate have usually had a lot more training and experience than Joe Tourist-Diver. I'm aware of one instructor who got hung up in his long hose primary when donating it to a panicked student; the primary donate community said well, he screwed it up. OK, fair enough. But the point is it can be screwed up either way. And if an instructor (experienced) can mess up primary donate so can a newby.
The advice I always give students is to know exactly what donate technique their buddy will use in an OOA emergency. If it's a randomly assigned buddy, ask while doing the buddy check. Know before you dive.