Curate, connect, and discover
Batman in an omegaverse always should be an alpha or at least someone without a smell , but not Bruce Wayne, he should be an omega, so hear me out:
Bruce Wayne by the public is considered to be a Homeboy (probably, idk the correct term, I'm italian), he's all smiley, a guy that continiusly adopts (apparently) random orphans, who is known for sleeping around a lot, at least befor Dick was adopted, the person that if you even go near his children will go crazy to protect them; kinda of boneless, who dosen't really works at his own company, basically Brucie Wayne (in the public eye, then in reality we all know the normal Bruce Wayne out of galas is not like that), an omega.
But Batman?
Batman is perceived as a menace for goons and villain, the darkness of Gotham, its protector, so an alpha, or at least what people think he is; probably he uses blocker so he smells like nothing or like an alpha.
and all of this makes even more sense because since the start bruce tried to separete the 2 personas (even in the canon) to protect his identity, so they're complete opposite, could ever Brucie Wayne be Batman? ptf NO, that's the point, so having a omega Brucie and an alpha Batman makes way more sense than having an alpha Bruce Wayne