Wow, I've never even heard of anyone getting just one gift from Santa, I admit. As a child, once we started to "count" gifts amongst friends, we already knew that there was no Santa. Prior to that, we didn't count. Well, by then, it was always obvious that my 5-10 gifts were far less than what any of my friends got (and cheaper, too). On Christmas Eve, we would go to my grandparents' house and get to open any gifts from aunts, uncles, grandparents, cousins, there.
As for us, we have always given the children 10-20 Santa gifts and we don't even bother with gifts from us. We take care of birthdays, Santa does Christmas. Actually, we do get each child one gift for opening on Christmas Eve, and those are always pajamas. We also, get family to come over on Christmas Eve and the children get to open any gifts from them, or gifts that have been sent in the mail from family or friends.
I'm Canadian...does that account for the difference?
No...because my American born DH always got huge, massive piles of gifts from Santa, as did his 7 siblings. All the gifts would fill a room, nothing would be wrapped, just stacked in 8 piles around the room with a name tag on each huge pile.
I do like the idea of one gift from Santa and the rest being from family, it makes sense, it's just too late for us to change our traditions now, since our children still strongly believe in Santa and are old enough to remember if we change anything. I always loved the magic of Santa when I was a child.