I don’t know if it is particular to the poodle size, early socialization, or just individual personalities.
My Grandma has had toy poodles almost 20 years, and although they were social with others, they would go days without eating if she left them for any reason (even though my Grandpa was there, and did at least half their care). They were a little snippy too, but perhaps that’s a socialization issue (Probably). My Mom inherited her sister’s toy poodle, and it has guarding issues— won’t let anyone but my Mom near her— growls even at my Dad. At age 17, I don’t think that’s being fixed. Again, I think that she was not well-socialized as a puppy (allowed certain behaviors as a 5lb dog).
With our mini, he was simply the life of the party, and happy with all people, but definitely favored myself (like Raindrops mentioned).
Our standard is a big fan of everyone— Dad and my son are her favorites for outside play, My daughter is picked for night time sleeping, but I’m the one feeding and training (and she will listen best to me, if she has the naughty moment), she’s my brother’s best friend at family events (this MAY have something to do with the sly way I see occasional bits of meat disappearing under the table)... And anyone leaving the house without her causes momentary distress (even visitors! ☺). So I would definitely say she has bonded with our family and even friends, and not just one person.
Poodles are definitely the best family dogs I could imagine, at least in the miniature and standard sizes. Smart, no shedding, loving, and fun!