A Turing test also has to be completable by a sort-of average human being — some dumb mistake like not counting Rs properly is not that different from someone not knowing that magnets still work when wet..
A particular subgenre of trolling is smurfing - infiltrating places of certain interest and pretending to be less competent than one actually is. Could a test be devised to distinguish between smurfing and actually less competent?
Turing test is classifier. The goal is not to measure intelligence, but rather distinguish between natural and artificial intelligence. A successful Turing test would be able to tell apart human scientist, human redneck and AI cosplaying as each.