I had the same problem, but (back in August 2019) I was fortunate enough to talk with someone at TurboTax who acknowledged the problem and suggested a work-around. Looking at these recent posts, I see that not only has the problem not been solved but the work-around isn't generally known to TurboTax support.
The work-around I used was to indicate that my NYS pension was a pension from the US Government. (I know it's not, but stick with me.) The "US Government pension" was then treated the same as a NYS pension should have been. There was no incorrect extra $20,000 deduction for another pension I don't have and my pension was correctly listed as a deduction on my NYS State tax return.
Problem solved--at least for me.
