So the key is "the thread needs to be distilled" as OP puts it. And often that's more work than just finding the right sentence to quote.
My approach these days in my email is:
99% of the time I quote nothing and delete everything my client puts into the compose window, relying on the default thread-view in most email clients to supply the context for my readers.
1% of the time I need to quote, and I quote liberally, treating words as a wiki, and editing/sculpting the text in '> ' just as much as my own reply below it.