From what I've seen, when they say "pushing it down your throat" what they really mean is "existing while gay". If it isn't hidden, it's apparently being "pushed down your throat".

Also, in the real world, people saying how "awesome it is to be trans lgbtq" are saying how awesome it is to be yourself as someone who is lgbtq. They aren't saying it's awesome compared to not being lgbtq (though one could argue there is value in having different-than-the-majority life experiences). It's just another way to imply that lgbtq people are actively trying to "convert" people to being lgbtq.