When the Democrats were liberal, sure. They made it okay to admit publicly that you are LGBT. Then the Leftists of the Democratic Party took over and started to attack America. So the liberal tag isn't the way it is in the Democratic Party anymore. They have become anti-American, anti-God, anti-US Law, quisling supporters and they pretty much have always been a death cult with their insistence that there is no mother and fetus too healthy to abort. That is a death cult.
You can see society and the mainstream media has changed in their attitudes towards gays.
1980s News Clips On Gay Rights
https://www.youtube.com/watch?v=OcLjfDatWMk&t=823s