I do recall one year where my mother bought us some toys and games in mid or late December. She was a very frugal person, so the reason was probably that there was a sale on them. As young children, we didn't care, since she rarely bought these items. I can remember that we told each other --in VERY hushed tones-- that it was like we were celebrating Christmas!
My dad was not a JW (save for a very brief period in the early 80s) and one of his brothers did bring us Christmas presents when we were very young. I think my mother put a stop to that. So we had a bit of an idea of what it was like for children.