Here is the problem with your idea: you are saying nothing positive about yourself. This essay should be about reasons why they want you on campus. Writing about how being closeted has killed your personality, stopped you from feeling anything, and so forth, well, none of that is endearing, or likable, or interesting, or conveying anything positive about you.
I promise I’m not trying to be harsh, but you want them to read the essay and think “I like this person and I can see him being successful at our college.” Thats what the goal is. I think you need to say all these things that are troubling you, but a therapist is a better outlet than an admissions officer.
Are you something more than a closeted gay man? Are you funny, creative, a good friend, an explorer, an athlete, a story teller, a gardener, an artist, or what? Who are you that shows a positive aspect of yourself? Give us some feedback, and we can help you. Write about what you like about yourself.
It seems to me that you’re not yet at a place where you love yourself as a gay person and so I don’t think it’s a good topic for your essay.