I've seen videos that suggest otherwise. Not linking it, since the last time I did, I got downvoted to hell and back for it.
It's different when a novice is already progressing through a long turn and suddenly needs to tighten (obstacle or overshoot). They already feel less safe as soon as the bike is at an angle, and have instinctive tendency to begin straightening it up at even the slightest provocation. This instinct will 99% win with the undeveloped/unconscious countersteering instinct. (What? Point my handlebar at the obstacle?!) So, yes, training it could save their life.
There is a "high speed" slalom course you have to do as part of the test and it's impossible to do it without counter steering through it.