Is Winnie-the-Pooh Christian literature?

This is one question that Frederick Crews pretends to wrestle with in his satirical look at the literary interpretations of the beloved children's classic. In his book The Pooh Perplex, in a somewhat tongue-in-cheek way he discusses children's literature in general. He draws a distinction between whether the hidden message in children's books like Pooh is "...of a Christian or merely a generally 'moralistic' nature". Behind his satire he raises a profound issue that is relevant not only for children's stories but for most preaching too. He writes (p. 54):

It is all very well for little red engines to huff and puff up steep gradients to illustrate the necessity of Trying Harder, but this doesn't bring us any closer to salvation does it?