This is exactly the mistake from http://lesswrong.com/lw/ix/say_not_complexity/

I'm not sure it is. That's about claims of the form "Doing X needs complexity, so if we shovel in enough complexity we'll get X", whereas Gram_Stone [EDITED to add: oops, this is another place where I said "Gram_Stone" and should actually have said "the unspecified people Gram_Stone was disagreeing with] is saying something more like "It looks like no simple model will do X, so any that does X will necessarily turn out to be complex".

I don't know whether that's right -- sometimes complex-looking things turn out to have surprisingly simple explanations -- but it doesn't look either obviously wrong or fallacious. The author of "Say not complexity" also wrote "The hidden complexity of wishes" which is making a point not a million miles away from Gram_Stone's. [EDITED to add: or, more precisely, not-Gram_Stone's.]