It looks like TurboTax has accepted that this is a bug and plans to have it fixed on or around 4/2/2020.
I found a workaround for my situation and filed my NY return. In case anyone else had the same situation, here's a quick description: My wife and I were part-year residents of NY in 2019 and she was the only one of the two of us with NY wage income, so I indicated that only she ("Spouse" on our federal return) had NY-based income. That's what I think caused the problem. So I went back and said that we both had NY income and that solved the problem! Nothing else changed, and once I worked through some odd stuff regarding 2020 estimated taxes, I was able to e-file successfully. So this could be a workaround for anyone in the same or similar situation who doesn't want to wait for the TT fix...
