e-file 2019 and 2020 1040-X not working

I have amended both 2019 & 2020 returns using the associated desktop versions used for e-filing the originals. Both were filed in October of the year due during the extension period. I have read that 2019 can & can't be e-filed, 2020 can for sure. Here is what I'm experiencing. TT navigates clear to the transmit return now button for both years. It circles back to a screen asking about the signature date. I am using the current date. TT is expecting/requiring a date prior to 12/31/20 for the 2019 return and 12/31/2021 for the 2020 return. If that is the case, the window to amend & e-file is much smaller than the ~3 year IRS window.

 

Am I supposed to lie about the signature date to get it to work?

 

Thanks in advance.