In playing with NVDA the recommendation about using the comma command to jump out of a block quote to new material works. I just didn't know it existed.
Now, mind you, I wish that the various levels of quotation were each considered their own container, and that some command not as yet in existence would only go to the next level out, with the separate comma command allowing you to jump out of the entire set of stacked quotations to the new material (which it does now, but with the block quote, no matter how many levels it contains, treated as a single, atomic container).
Brian - Windows 10 Pro, 64-Bit, Version 2004, Build 19041
A gentleman is one who never hurts anyone's feelings unintentionally.
~ Oscar Wilde