Don't know for sure but doubt it.. it's possible that could even create solid colored birds or birds with just few white feathers in crest. That is because white as in white chickens is not a color but a gene that prevents the bird from showing whatever color or patterns they have. So that white bird could be genetically "not white crested" like a GL or SL Polish. Or it does have the genes for a white crest.. just you can't tell because it's covered up from sight.
The white on crest is unusual, have not read anything on genetics of that. I can say I crossed a WCB with a Silver laced a long time ago and most of the offspring had only a few white feathers in their crests, several were completely solid colored. Doesn't help with your answer... unless the white bird is genetically not a white crested.