And here's your first real argument. Congratulations on achieving that! It's still wrong, but baby steps here.
There's a few problems with this argument though. First, a trans woman is about as capable at being a mate as a sterile female. If a sterile female wears feminine clothing, are they lying non-verbally? They are signalling their availability as a mate, but cannot have kids.
Second, I don't really care about the original cause and purpose of gender roles. I like to think we evolved beyond that by know. The original purpose of muscles was to survive and beat up other people who you perceived as a threat, for example, but we've evolved beyond that.
Third, you are ignoring gender roles that don't fit the binary that have existed historically, like American Indian 2 spirits. You'd need to explain that as well.
Fourth, people give nonverbal lies all the time. I mentioned sterile women, but what about a breast job? make-up? flattering clothes? All of this seeks to hide bad looks, and there are other ways to hide other bad parts of yourself as well.
But I would allow that if someone starts dating someone, and doesn't tell them that they are trans, they are lying to that person, just like someone who is sterile but doesn't tell someone. But conversely, there's no need to go broadcasting either of these things unless one is in a relationship.