Health
“This is true in the US also. In the US, no one cared when they lived in the closet!”
This is demonstrably false
for example, I’m sure you are old enough to remember When “Dont ask dont tell” began. At the time it was the liberal position to support “dont ask dont tell”, while conservatives where against it. Conservatives very much cared “when they lived in the closet” and wanted them “outed” and prevented from serving, if a person had those tendencies, just keeping it to themselves was not good enough, and they were discriminated against even if “they lived in the closet”. And this was not that long ago!
It is interesting that less than 20 years later “Dont ask dont tell” became the conservative position, which is kind of where you seem to stand on the issue, ie. keep it to yourself. while liberals opposed it.