Yeah, that's a different version of Lies-to-children, which isn't the same as telling them that Santa Claus exists. One of them is an imperfect model with general applicability for many situations, and one of them, well, isn't.
If "Santa Claus exists and brings you your presents" was a simplification of "metaphorically Santa Claus is the anthropomorphised spirit of Christmas and is an ideal presented in human form, which is the social force that causes presents to appear under the tree on the 25th of December" then it wouldn't be unreasonable.
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Which is obviously what EVERYONE means by it ;)
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