How is this genderswapped? Is kaito supposed to be a parody of a female character or somthing?

Well, That shawl is like the one that you see in one of the more common designs for Kaiko. You'll also sometimes see her with sort of puffy headphones like that.

I'm not sure if the video linked in the pixiv description has any insight into the matter beyond that - it didn't seem that way to me at first glance.