They aren't chickens. If the meat smelt like chicken meat when cooked, it would make me sick, and I'd avoid it. So it is possible it would have the same effect.
But without that, no.
And for the record, I'm not half so bothered by the smell of turkeys, though I don't really eat that either. And I'm not sure what duck meat smells nor tastes like. I don't generally eat those.
I HAVE eaten ostrich meat. That was actually tasty, but mostly because it was functionally more like red meat.
So I would imagine that wyvern meat might be like a hybrid of ostrich and crocodile, probably, in which case it would be just fine.