2019 and 2020 Federal Taxes not processed: Should I file NonFiling to get Third Stimulus?

I filed our 2019 Federal by paper and it hasn't been processed yet due to the Pandemic (we know IRS received it because they cashed the check).  I looked online and for 2019, IRS is saying that we have a "Verification of Non-FIling" for 2019.  As a result, we didn't receive the second Stimulus Payment and so we filed for it on our 2020 form and are getting a hefty refund.

 

We were able to file 2020 Federal electronically about 5 weeks ago, but while TT says that it has been accepted, the refund hasn't been processed yet.  We haven't received our third stimulus payment yet, and I suspect it is because both 2019 and 2020 haven't been processed.  

 

I am wondering if it would do any good to file the "Nonfiling" form that I hear that some are filing to get their third stimulus payment?  Or would that be a BIG MISTAKE?!  And cause a lot of unnecessary trouble.

 

Thanks for your help.