Nah, that sounds really delusional.
i think they'll just have standard bl zero conflict like "of course i love you no matter what. im so hurt you didn't tell me but i can get why what i said would've made you scared so actually ill blame myself. wait you can hear my thoughts? now im really gonna overwhelm you with love" and i assume he'll stop being able to hear him once they pair like in cherry magic. and the only problem will be eitas parents will want eita and ichi to break up and they'll send a bunch of alpha women to eita on blind dates or whatever idk
source: i've read thousands of BL, hundreds of which have been abo
So I'm guessing the alpha already knows. I've been paying close attention and not once has be called him a beta in his head and never once since they started dating has he mentioned hating omegas in his head + he felt the pheromone tingle in his nose and had noticed the omega leaking twice. I think he knows he's just trying to respect his boundaries? But I'll come back to this if I'm wrong