No, the point is false negatives
don't invalidate a test. It requires both intelligence and communication abilities.
Cost and accuracy are obvious trade-offs, but sometimes you are willing to trade say cost and false positives to avoid false negatives say, a mass screening for HIV in a blood sample. In that case you need a cheap test and while a false positive has minimal cost a false negative could be deadly.
Highering is the opposite case. Micdonalds want's a cheap test (interview + background) and as long they get enough acceptable low level candidate from their pool that's enough.
As such the turing test can fit the second example. A hypothetical AI could hold a huge range of real jobs even if limited to purely text based communications.
PS: Let's flip it. A super intelligent AI in a box that can't communicate in any form. Without IO it's indistinguishable from a space heater.