In an extremely blunt way, it's correct. It obviously extends beyond grammar, and I have an entirely different stance on how 3rd person pronouns should be handled in English that described, but the premise is solid. Take where you would typically use gender, and, like, don't. Obviously you would still have biological sex for things like medical records, but it wouldn't be tied to who you are as a person, it would just be a letter on a paper somewhere.