All I know is that I love anyone (with a preference for women) regardless of gender. I would say gender does matter to me since I prefer women, but I would love anyone regardless, and would gladly date women, men, and everyone in-between. not only this, but if my love transitioned, I would still love them.
As many others have pointed out, there’s no governing body that defines these terms clearly so we all kind of have our own definitions. It’s important to make a few points though:
Personally, I identify as bisexual and not either pan or omni, and the reason why I do so is because I’m attracted to feminine women and masculine men. Because I’m not attracted to anything else on the spectrum (masculine women; feminine men; androgyny etc.) I feel like the term bisexual (two) better reflects me. I only have two genders I’m attracted to and am only attracted to those who both identify and present with that gender. I also identify as heteroromantic because, as a cis man, I only want romantic relationships with women (cis/trans, doesn’t matter).