The possibility of No Deal did not "bring the EU to the table".
Asking them to tweak the deal got them to the table. May didn't ask because she had her deal, but she couldn't get it approved in Parliament. Johnson took that as a sign it needed to be changed.
The fact that it couldn't get through Parliament is what got the deal changed, not the ravings of the ERG.
Oh, and the "new" deal is just the old deal, but worse.