If someone with a history of robbing banks arrived at my bank with a ski mask and a bulging duffle bag, I would say "go away, bank robber". The analogy to cryptography would be the NSA proposing yet another PKRNG, of any kind.
On the other hand, if someone with a history of robbing banks called me on the phone and asked me what the interest rates on my checking accounts were, I would tell them, because they can't rob my bank over the phone. The analogy here would be to the NSA suggesting a streamlined, simplified ARX block cipher transform, a backdoor in which would imply some fundamentally unknown property of block ciphers that would presumably jeopardize a whole variety of other academic ciphers, and would not accomplish the NOBUS property that NSA requires of backdoors in things they encourage USG assets to use themselves.