Hm. Odd. I watched the 22 minutes clip out of curiosity...and it didn't really seem to sexualize or objectify trans people to me...so I don't quite get that.
I do think she has a better point in the reaction video, although briefly touched on, it kind of sucks that the trans part of it is a joke. For a community that is poorly understood, it's kind of shitty that when they do get mentioned its in a sort of "haha that's so weird" kind of way. I think there is some legitimacy to feeling frustrated by that. But I don't read so much sexualization into it. More like "lady gaga is so weird she sings about trans people" to juxtapose against safe vanilla Tony Bennet.
If I had seen the 22 mins clip outside of this context, I probably would hardly have noticed the trans bit. I mean, if it were a gay joke I likely wouldn't be offended because generally I think we are at a point today when most gay jokes, at least public media ones are done in a sort off good faith, and it's not really a stretch to associate the gays with the gaga. Does the trans community it's have well known strong ties to lady gaga? Maybe then it would make sense. But if not it's kind of as relevant as if the sketch had illustrated how edgy she is because she sings about black people.
I doubt the 22mins people meant anything by it and I'm certainly not loosing sleep over it. But it probably wasn't a great choice. Kind of like one of those microagressions.
As for the whole "lgb" community how the "t" sometimes clashes... I think we actually group them together as being too similar too often. Although are definitely similarities I think they are also very different. Being attracted to the same sex is not the same thing as being trans. I mean, they both have to with societies' sex and gender rules, but I'm gay and can't even really pretend to understand what it would be like to be trans. I never felt alienated from my own body, and despite some struggles with coming to terms with myself - being a woman never even occurred to me. In fact when I came out to my mom, one of her concerns was that I stay male. It was jarring to me because that wasn't even remotely the issue (although I was still pissed she added that qualification).
I guess my point is, I don't think it's surprising that trans people sometimes feel they aren't included or understood by the lgb people. Should we work together? Absolutely! But sometimes trying to cover everyone under the growing sexual minority umbrella isn't always going to work. Sometimes the goals and struggles, or where we are in those struggles differ. I think sometimes the trans community it's gets drowned out and get frustrated. At the same time though they sometimes believe their issues should supersede all others which isn't totally fair, especially when many gay organizations fully support trans activism, but aren't comfortable speaking for the trans community.