I'm part of an inter inclusive trans and nonbinary community in Germany and have noticed that "intersex" has become as outdated as "transsexual" among activist queers, we just use "inter" specifically because we do not want to conflate it with sexual orientations like homo/bi/pan/a/demisexual etc.

idk if the same is happening in the US, but it would make sense if it did, and my inter friends all use it in this way. Also i see TIN* (trans, inter and nonbinary) as an acronym increasingly often in German discourse. Note that none of these categories are mutually exclusive, when i say "trans and nonbinary", the "and" is used as "and / or". It does very definitely not mean that nonbinary isn't a valid trans identity, just that it's up to the individual if them being nonbinary also means that they identify as trans. I absolutely do identify as both, but i've met a lot of nonbinary folks who find that their lived experience is different from that of trans people and that they do not want to claim the trans label, and when i'm placing self ID front and center in the liberation of queer people, i can hardly argue with that.

As far as wider umbrella terms go, i'm very happy with just using queer for anybody who is subjected to othering based on gender, orientation or assumptions about their "biological sex", but i understand that the history as a reclaimed slur makes this more complicated among older LGBTQIA+ people in anglophone countries, especially in the UK where it seems to have been in widespread use as a slur for much longer than elsewhere. Over here, rejection of the "queer" label is overwhelmingly the domain of assimilationist cis gay and cis lesbian reactionaries who usually have a strong agenda to exclude anybody who isn't a cis endo allosexual binary white "judeochristian" potatogerman gay man or lesbian woman, and i don't feel particularly bad about alienating these people.

Regarding MOGAI, idk if it's actually problematic, it just has gotten a ton of flak from reactionaries who extensively used tumblr kids making pride flags for hypthetical genders and orientations as rage bait. A lot of the MOGAI labels literally exist just as a play of thought and aren't something anybody has ever actually identified as, or they are representations of how some questioning teenager happened to feel on a given day. I'm not saying this to trash talk MOGAI, these are perfectly reasonable things to do when you're a kid figuring out who you are. I'm just saying that a lot of people use that as an attack vector to get mad about "the left making up 189 new genders every day" and that this should be kept in mind when somebody criticizes MOGAI. These often aren't good faith discussions.