Not the answer but i wanna know tooლ(´ڡ`ლ)
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Still not encountered that kind of plot but I wanna know too if it exist.
But I read an omegaverse where the alpha looks like an omega and the omega looks like a beta. ErenxLevi dj
http://www.mangago.me/read-manga/tsuki_no_ura_wo_koete_omegaverse/
i dont know if this meet your criteria...i hope it same with what you want
I'm really dying to know if there is any story where the person acts like omega look like a beta but actually an alpha. is there any story like that? well, just my fantasy tho.