I'm also on Team "these words have lost their meaning" but often feel opposite to OP's intent
When people go out of their way to force inclusive language to a degree that feels unnatural, and especially when I'm the only trans person in the room, it feels like I'm being singled out for my identity. It's extra uncomfortable when they make (often incorrect) assumptions about my body while doing so.
That said, I will also never fault someone for trying to be inclusive, and ofc always respect other people's preferences.