Bingo, if the meeting is geared for openness but people aren’t open, now you’ve got conflict. Of course if people aren’t open you might run into trouble anyway but there’s a grey area there
My employer has no right to demand that I talk about my personal life at work.
I answer "not much" and immediately pivot to giving a work status report before any followup question can happen, and my manager lets me get away with that. That's a little better, but it still starts every week off on the wrong foot.
I'm very far from shy, though, and if/when the general subject comes up in more casual conversation, I will certainly say something.