If you're in danger of death, from what I understand you are allowed to confess to any priest, or even a priest who is in schism or who has doubtful validity. From what I understand the only way you are not allowed to confess in a case of danger of death is that you are certain that the priest is invalid.
Yes, this is essentially what the Church taught at Trent.
Stubborn's argument is that God would never put him in a situation we're the only priest he had available was an NO priest. Okay maybe, but that's a different question then whether theoretically, if that was the situation you ended up in, that you would confess to him.
I am arguing Divine Providence, no priest is ever going to appear by chance or coincidence in an emergency, if one is to be had at all, he will be sent by God. So if you remain faithful, do not compromise and do not go to the NO even occasionally in this life, then if you get a priest at all, you will get a good priest to give you valid sacraments without the risk getting a NO priest. God won't send you a NO priest because He knows that like Him, you hate the NO because you've proved it by avoiding the evil thing your whole life. It's just that simple.
There is no doubt that God hates the NO service. It was contrived in hell and perpetrated here on earth in order to replace the true Holy Sacrifice and derail the faith of all who go there, that is the main reason it even exists at all and it's why we avoid it always.