If this thread was about a crew's response to a GPWS alert: "Whoop Whoop PULL UP!", which involved pushing the stick forward instead of back, would there be much in the way of technical discussion required? After all, to manouevre against an RA is the worst possible case... doing nothing (anything!) is a better option.
I agree that it is difficult/impossible to "prove" TCAS logic for multi-aircraft encounters but do you think you'd do any better as a human with only a limited view out of a small window and seconds to make a decision? We start off at a profound disadvantage with our senses (the one that's going to hit you is the one that's most difficult to spot, amongst other things) and often just don't have the information available to be able to reach a calculated conclusion - it's instinct, right or wrong. We're not fighter pilots in highly manouevrable aircraft with excellent all round visibility - and they get it wrong, too.