The story is about the 56 signers. You seem to have an issue with that focus. And what you wrote above has ABSOLUTELY NOTHING to do with embellishment or untruths.
"There is no great body of evidence that the Signers were particularly singled out as a group. Its highly unlikely that British officers rode around with a deck of cards with the Signers names and faces on them."
"Highly unlikely"
What kind of source is that? Your not even a revisionist. You are a "could be," "might not be," "not likely" historian.
Did the British have a price on the heads of the signers? Yes/No?
I don't know. John Hancock and Sam Adams did, from clear back in the days before Lexington. I don't know about the others.
If they did have a price on their heads, the price was never collected. About a half dozen Signers were captured by the Brits at one point or another during the war. None was executed.
Besides this unsourced document, what is your reason for believing that all of the Signers had a price placed on their heads for the act of signing the Declaration, separate from their other treasonous activities? IOW, were the British that much more anxious to catch Jefferson, who signed, than Patrick Henry, who did not? Both served as governor of VA during the war.
Various and contradictory versions of this document have been floating around for about 50 years. Paul Harvey is one of those sometimes credited as the author, although it is more likely that he merely rephrased the floating meme, as Daddy Limbaugh did.
Dear Avocado:
Going strictly by his remarks, and having never met the man; Sherman Logan and persons like him, who stand back and make petty criticisms of the efforts of others remind me of a term we used to use in a former life in The U.S. Army Security Agency.
Persons who carped and criticized others on piccayune technicalities were given the title of “Pointy Ass”.
There aren’t terribly many pointy asses in the world, but they move around a lot, so you keep running into them!