There doesn’t need to be an additional term for straight people who can be attracted to both masculine and feminine appearing people of the opposite sex.

No, the word for that is straight. But there are certainly words for people who are attracted to masculinity or femininity, regardless of gender. And of course there’s having a type. But that’s got nothing to do with sexuality. Pan folks can have types, too.

You’re attracted to anyone, regardless of gender, which is pan.

Well no. Omnisexuality is explicitly not regardless of gender. The gender is being regarded. That’s the whole point of the distinction. It’s just that all of them are being regarded. That has nothing to do with expression, type or appearance. The attraction to different genders might just be different, before type even plays a role.

At least, that’s how I understand it. I’m pan. I barely get how one can care about gender at all. I cannot speak out of experience here, only from what I’ve been told. I get omnisexuality about as little as I get exclusively gay/straight people. This feels a bit like a blind person explaining green to someone who can’t see colours.