Even the description of the curve on the bitcoin wiki, "Most commonly-used curves have a random structure, but secp256k1 was constructed in a special non-random way" should ring alarm bells.
Even with "not up my sleeve numbers", for any given parameter, there are so many sleeves, that a parallel reconstruction of "not up my sleeve numbers" are entirely possible, much like the "interesting number" paradox, if every number is interesting, then every number also has a reason for why it shouldn't be considered suspicious.