Your arguments are logical. I disagree with having government do this. Advocates for LGBT-Q++ can do it better. They already are, in fact.
They not only have multiple hotlines, but are specialized beyond LGBT:
View attachment 1127556
Contact our hotlines or chatrooms, designed for all members of the LGBTQIA+ community, and receive help regarding questions regarding sexual orientation and gender identity.
lgbthotline.org
They are open about it, so law enforcement, such as the FBI's sex crimes units, can monitor them, especially the LGBT Youth Talkline. That's just one organization, of many.