I do think that's insensitive, so I responded as followed:I live in a world where people can no longer laugh at a man dressed as a woman in a cartoon because they either think it's an insensitive jab at trans/gay/whatever people, or they're just disgusted by the principle of it! Ugh.
Well, the past is the past. They had different social standards and it was very transgressive for comedians to defy gender and sexuality norms at all, even as a joke [see Monty Python]. Today, it's not enough [and the same jokes made today would have a different and unpleasant meaning]. LGBT people have spent a long time fighting to be accepted rather than mocked and even murdered in the streets [statistics for trans people of color are shocking].
These jokes are not as harmless as they once were, in terms of context and content. An anti-trans joke on something like Family Guy goes very dark, and very heavy. And being treated as a joke, when there's little positive treatment in the media, gets people killed. Old cartoons also had stereotypes for every ethnicity and we're not still defending that.
These jokes, quite simply, get people killed, and always have. A couple centuries ago, minstrel shows made black people a joke in the US, and enforced whatever stereotype was considered necessary to promote the idea of former slaves being not quite human. Jokes aren't just jokes when there's an absence of good information and representation in the media for a marginalized group. Jokes aren't jokes when they turn a whole group of people into a joke, in the eyes of many, in the absence of real information.
These jokes aren't offensive to you, because of your own background, but that's not really for you or me to decide. Especially these days with shows based on "offensive humor" - there's a very fine line between "this is a joke about a man wearing a dress" and the lie that "a trans woman will never be anything more than a man in a dress" - the latter "joke," and others like it, gets people killed, and treated as something less than human.
You and I and everyone have plenty of friends who are LGBT and if something is offensive to them, I'll listen to that. I am often offended by these jokes too, but also it doesn't matter what I think as I'm not part of that group. If they're offended, it's not our place or right to say they should or shouldn't be. Or to speak for them in their absence. You are speaking for offended people in their absence to portray them as unreasonable - an easy thing to do when you're the only one talking.
You find you reexamine your attitudes to media when you hear from people who these "jokes" hurt. The media of the past was hardly harmless - it reflected the inequalities of the time, and so does media today [with America's blatant and saddening hatred of Muslims, for example]. Disney no longer puts out "Song of the South" [after the 80s] because of all the offensive minstrel-show stereotypes that were then very old, but still leaked out into the culture, and would reflect badly on the company today. [These started to die out in the culture in the 60s, as black voters demanded and achieved more rights.] If your joke is only funny because you're not the person being made fun of, that joke belongs in the past. [LGBT voters are demanding and achieving more rights now, if you haven't noticed ... and that means having a voice in the culture beyond these insensitive jokes.]