Earlier quoted context omitted.
I followed it and was trying to point out that your question was imprecise.
Respectfully, I think you're a little lost here.
My read is that you asked what is the secret key with the implication that if they have it they should reveal it. No one who has it would do that to settle an argument. Well maybe someone would but it seems like an unreasonable ask. Absence of evidence isn’t evidence of absence (of the theft of the secret key for the q parameter for Dual EC), right?
If Dual EC didn’t have a backdoor, no could steal the secret key that NSA uses to exploit it. One is more secure than the other, and I take your comment as requiring the secret key for the corresponding Q to leak for that design to be a bad idea that is insecure. Again, I don’t think that is a reasonable standard of evidence. We know people steal stuff from NSA and we cannot expect that they will drop the secret key on hacker news to decide that it was a bad idea in the first place.
NOBUS is a fantasy idea - is there even a reasonable proposal that isn’t less secure than the same system without a backdoor? Even with ECDLP in play, if a CRQC is really in our future, Dual EC isn’t a forever NOBUS backdoor. If we knew how to do public key cryptography that could last 100+ years and we thought it was also post-quantum, maybe a backdoor wouldn’t weaken the system overall. But that’s a lot of maybes…