There's a fair bit of prejudice against Duskwights, and Wildwoods tend to be apt to perpetuate it. There's been a divide since the days of Gelmorra, and things haven't really improved for the Duskwights since- they're the ones who tend to be more isolated and more outside of "normal" Eorzean society, with a higher crime rate and a lower number of individuals in visible/respectable societal positions.
There's also the note in the naming lore that even though Duskwight and Wildwood names sound very similar, there's more or less no actual overlap. So even if "Nicot" or "Chassebel" are linguistically valid names for both Duskwights and Wildwoods, you're not going to see a Wildwood with those surnames.
There's nothing saying there can't be children of a mixed Wildwood/Duskwight union, but there is a considerable social barrier to such a union occurring in the first place. Wildwoods look down on Duskwights, generally, and Duskwights tend to avoid Wildwoods. Any couple would likely be at best in Romeo and Juliet circumstances.
There's also the note in the naming lore that even though Duskwight and Wildwood names sound very similar, there's more or less no actual overlap. So even if "Nicot" or "Chassebel" are linguistically valid names for both Duskwights and Wildwoods, you're not going to see a Wildwood with those surnames.
There's nothing saying there can't be children of a mixed Wildwood/Duskwight union, but there is a considerable social barrier to such a union occurring in the first place. Wildwoods look down on Duskwights, generally, and Duskwights tend to avoid Wildwoods. Any couple would likely be at best in Romeo and Juliet circumstances.