That chick has one parent that has dominate white.
Your Pyle OE has dominate white.
Idk if your neighbor has a rooster with dominate white or not.
It is what it is and whether likely or not the genes don't lie.
The other chick is not fathered by the Pyle OE. That's a guarantee.
I would assume...
White with some black spots changes everything. Recessive white wouldn't show any black spots.
Dominate white will if there's only on copy of it.
Your red Pyle OE Is dominate white. Now I'm saying he is indeed.the father.
There's two kinds of white. Yours is recessive white. Each parent must be carrying it sight unseen.
Your chick just happened to get one gene for it from each parent.