It should just label HTTP pages as "not secure", full stop. Because they aren't secure. Or at least, any page with a form. Never mind if it's a password field or not.
^ 100% agree. I think just marking HTTP pages with password fields as Not Secure would make HTTP pages without passwords fields appear to be secure. This is obviously not the case---they are just as insecure because you are sending your session cookie which is equivalent to your password---so all pages should be marked Not Secure.
This is extremely different for most users that don't use password managers and/or unique passwords per site. As if your password is leaked. Maybe all your other sites are now leaked(with same pass) . The same can't be said of cookies.