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Interesting.  I just looked it up and you are right, that is what the Technical Explanation says.

If a professor or teacher remains in the host State for more than the specified two-year
period, he may be subject to tax in that State, under its law, for the entire period of his presence.
<a rel="nofollow" target="_blank" href="https://www.irs.gov/pub/irs-trty/inditech.pdf#page=50">https://www.irs.gov/pub/irs-trty/inditech.pdf...>