The objective of the hoodie is to prevent face recognition.
Those who have come down with switcheroo fever are saying "aha! This actually makes you more recognizable, not less!"
But this is not a trick question and this is not the type of thing where the switcheroo is meaningfully responsive.
The objective is to prevent a camera from recognizing your face, and it does that. If you have tested positive for switcheroo fever, you should start your comment by stating out loud that you understand this is the objective and you understand that it does indeed achieve the objective before proceeding elaborate on your own personal variation of the switcheroo. And perhaps, if you dare, proceed to challenge mode, where you acknowledge that this might be a trade-off that was consciously chosen, and does not come as a surprise to the people who designed the product.