I think there's a dual element in the "anti-" of the title. Not just "opposed to" but also "the opposite of," as in "antipode." By superficially preserving the limerick structure but totally ignoring the 1-2-5 rhyming requirement, I think the Anti-Limerick meets both definitions, and does so very well. I like it (although I disagree with the man.)

"I don't know which is worse: ignorance or apathy. And, frankly, I don't care." - Anonymous