If the Turing test had been "can the computer win on Jeopardy?", then we'd agree nowadays that substituting that for "can machines think?" would have been a poor substitution.

In Turing's phrasing:

Instead of attempting such a definition [of machine thinking] I shall replace the question by another, which is closely related to it and is expressed in relatively unambiguous words.

I'm questioning whether the Turing test is closely related to machine thinking, for machines calibrated to pass the Turing test.

For machines not calibrated to the test (eg whole brain emulations), I still think the two questions are closely related. Just as SAT scores are closely related to intelligence... for people who haven't trained on SAT tests.