The linked article is paywalled, so it may be unfair for me to judge from the part that IS visible that the author either secretly aspires to write for the Onion or wants to make the not so subtle (and almost certainly inaccurate) point that Pooh votes Labour and shouldn't.
Anyway, I never had the idea that Winnie the Pooh was supposed to be any kind of role model or arbiter of taste and behaviour. He always came across to me as quite a bit of a bumbler, supported and fortified by the superior intellect - but not necessarily exemplary morals - of Kanga, Rabbit and Owl and the quiet stoicism of Eeyore.
As for letting my children read it - how would I prevent them?