Nor have any of the gay/lesbian co-workers I've had over the years. The question is, though, if LGBTQ-targeted radio drops the musical stereotyping and starts playing rock, country, hip-hop, etc., in addition to the occasional "this is what gay people love" song, will that target audience and whatever advertisers the format attracts accept the diversity? Would all the non-dance/disco music played have to be by LGBTQ artists in order to "keep it real"?
A station called - yes - "Gaydio" in the UK used to be like that, launching in (I think) 2008. They were rhythmic, but not overwhelmingly so. They had alternative rock and hip-hop and 80s music programming, and the LGBTQ+ content came in the speech between the songs, there was community news, an events guide. That format lasted a few years, but they eventually flipped to the standard all-EDM, all-the-time format that all LGBTQ+ people apparently crave - this is
a recent playlist.
There are historic reasons for it - Red Plume has set them out above - in that gay clubs in big cities were a safe space for people to be out when it wasn't safe to be out. But in this day and age, in the vast majority of places (certainly here in the UK, in big cities, small towns, the countryside, there are visible out LGBTQ+ people and nobody sane cares) there isn't really the same issue any more, except some amount of transphobia as a holdover from the bad old days, and even that is waning.
Again, at least here, "mainstream" radio has openly LGBTQ+ hosts at all levels and in all formats and regularly gives mentions to queer listeners, things like hearing that a man and his husband are celebrating their anniversary are just normal things to hear on the air now. Things have changed hugely even since 2008, so the "safe space" provided by stations like Gaydio is less and less necessary.
These stations have a future as generic EDM networks - the big EDM network in France, Radio FG, started as a gay station - or will close down as unnecessary, as Channel Q appears to be on the way to doing. I don't see the point in LGBTQ+ radio in the modern English-speaking West.