I definitely understand the point you're trying to make, as a lot of western LGBTQ folks tend to get stuck up and forget their lives are far off better than those in other parts of the world, but according to etymonline "The explanation that male homosexuals were called faggots because they were burned at the stake as punishment is an etymological urban legend. " not to be pedantic or anything I just hear it come up a lot.
Also not all instances of people mentioning the concept of privlege are necessarily a form of manipulation to garner sympathy or some kind of special treatment. People often pretend to be victims, or use their victimhood as a way of absolving themselves of responsibility for their actions, but genuine privlege does exist and sometimes it is important to point out people's privlege in certain situations.