ThinkFast
Live Long
I think that if a rider has to more than occasionally trust their bike to get them through a high stress or high risk situation while riding on the street, then they should re-examine their judgment to see where their mistake actually starts. Having to trust the bike is an indication that the riders judgment and skill are sub-par.
Harsh, Enchanter, harsh. But true.
That said, a more actionable response might be along the lines of, "Sounds to me like you are ready for a track day or two. The lessons you learn there will help you get to a new level of skill and confidence, both of which will help you stay out of situations like that."