Does the Turing test contemplate that the person doing the evaluation should not be wary they are performing one? I would falsely classify some of my fast-typi

Does the Turing test contemplate that the person doing the evaluation should not be wary they are performing one? I would falsely classify some of my fast-typing family members and friends as bots due to the high amount of grammar mistakes or failure to respond in full to a set of questions.