Oookaaay... and now *this* happened:
https://im.ge/i/yzDmj6That was right after a long rest and after having spoken to Gale after his "night under the stars" scene.
After talking to Gale, I went to talk to Wyll next, and this is the result.
Never happened before, either. After re-starting the game, I tried unequipping the robe from him, thinking that might fix it, but it didn't. It also happened when I tried to talk to him far away from his "idling place" in front of his tent.
The game hadn't crashed ... Scratch was still running around the camp and ESC would open the in-game menu. I could switch to a third character and would see the speech-bubbles next to Wyll's and my Tav's portraits.
Pressing RMB/Space to skip about five times or so finally started the conversation just like normal.
I still find it pretty amusing to see the ... errr... Alien visitor, shall we say, at camp. Him showing up like that happened every single time, BTW.
S.