I don't think you understand the idea of missdirection
York got petrified the only people she's "tricking" is Ussop, Franky, etc..
Your allusion to "all of the SH hence the missdirection" makes no sense, she didn't missdirect all of the SH, she appeared to get defeated in front of 2 SHs which never even suspected her.
She could have just went off on her own like Shaka or Pythagoras
it's the retarded idea of wanting to be a celestial dragon.
And we know Vegapunk has this tiny bit of ego in him. So York desiring that that is logical.