Togekiss was in Green Version!

youre taking that out of context. 'NOT visible." "Tiny."

it has no wings, therefore this image is still not making sense for me.

Admit it. He got you. Not visible means there ARE wings, only... NOT VISIBLE. As in so tiny they are inside its fur.

And no, the reasoning of "The invisible man doesn't exist, therefore, not visible things do not exist, therefore, Doduo has no wings" won't save you.