LGBT identifying teens being more likely to commit suicide could be for many reasons and if making out like coming out of the closet is a big thing it will increase that. Someone that is transgender for example might be more suicidal about having sex change surgeries than having different genitals. Today it is more easy for people to come out of the closet, even for those of African or middle eastern origin. Creating hype about a premier league football player or similar and making out that coming out of the closet is a big thing only creates a bigger gap with sexuality and homosexuality acceptance. You're making out that coming out of the closet is like saying you're not human and that creates a bigger divide, if you coming out of the closet is treated less than someone's preference to chocolate or non chocolate biscuits it would be more accepted. In the end of the day homosexuality is a sexuality which is only applicable to your sex life, it doesn't change the person you are.
I think you make some genuine points but everything you've stated above would only work in a one-dimensional universe where everyone lives in harmony and sees eye-to-eye on the same subjects.
In reality: life does too much: religious extremism/intolerance, general ignorance, hype and interest, paranoia and fear, isolation, community differences, generational differences, cultural differences...for your portrayal to successfully blueprint across the globe at this point in time.