It would be a straw man attack if the author had proceeded to logically refute his own satire and claim it was a refutation of Tim's methods.

Note: the above would have to be done without breaking a smile.

Or it would be that the satire is meant to reflect Tim's methods and the ridiculousness is meant as a refutation (in much the same way that "A Modest Proposal" was meant as a criticism of Britain's callousness — satire is generally a form of criticism).