disclaimer that i'm a transman who's not nonbinary...
i think we still need these terms, but it's all in how they're used. for example when this host says "...unless it's a part of my journey as a human being" and that's how i feel it should/could be relevant. sometimes trans people are just shooting the shit and are comfortable enough with each other to talk about their transition journey in this way, especially when describing problems they might have had along the way.
i agree it's not really something i would share with a nosy cis person or a nosy anyone. but this is like putting an unnecessary blanket restriction on how people should discuss gender when the community is a spectrum and not everyone is uncomfortable with these terms.