I still don't think it's a problem if a nonsensical story is contradicted by a more coherent and plausible one. I call that correcting a mistake, not making one. Besides, all we know about the supernova comes from a mind meld, which was presented in a very dreamlike way. So we can't trust it to be objectively accurate anyway. Maybe Kirk's mind misinterpreted what it was getting from Spock Prime, which is why so much of it makes no sense.