To be honest, I usually didn’t mind those comments because it made me remember that I did know this person once and she remembered me and it was fleeting and not needing a response other than a head nod or thank. Yes, even when I was older. It is often a way people acknowledge the presence of a kid before he is ignored the rest of the visit.
As a child, I didn’t mind being told I looked like my mother because she was a hardworking ordinary looking woman. Even at my brother's funeral, most of the visitors were taught by my mom or knew her through the church so I got many "you look just like your mother!" comments. Well, she’s been gone 50 years and there are still people who remember her!
Do I refrain from these comments to children? Usually, merely because they sound so lame when in a movie or tv show and the kid actor seems uncomfortable.
Luci, I am often told that I look like my mother. To which I have always said, "Thank you!"
A few years ago, my mother told me that when I was little, I would say it with an inflection that implied that they had just said I was one of the most beautiful people on earth. I looked at her and said, "Yep!"
She almost fell off of her chair, she was laughing so hard! And, yes, I do think it is a compliment to be compared to my mother, especially her kindness and intelligence.