My parents rarely do. My in laws do it, all the time. They’re always referencing what their kids did or liked when they were kids.
I always found it slightly irritating to hear about all the time.
But then I noticed other parents do it too. Like a cousin of mine, she always talks about what her girls were like when they were little. My BIL’s GF’s parents came to visit and they also talked about what she was like as a little girl.
I have two young kids so I guess the conversations lend themselves to this. It’s not out of the blue. Eg BIL’s GF’s mother said how much my DD reminds her of her DD at that age. It was very sweet.
my parents don’t do it at all in front of company and I sometimes wish they would. They do tell me stuff about what I was like as a child sometimes. But it seems like a lot has been forgotten and they’d never share stories when others are around.
MIL does it all the time and I just wish my mum share the odd anecdote, but nothing comes !