From the Specials I've seen it would seem to be pretty easy to miss one, I mean it isn't like the "Special" was purchased as a morph in the first place. Same thing applies with the likes of "Het. Super Stripes" all morphs have good and bad examples so I don't think it's unreasonable at all to imagine that a "Special" and the "Daddy" Gene carriers are the same thing.
That said I look forward to seeing what a "Mojave Daddy" would look like if it isn't a Crystal.