People have pointed to REH's work. And, yes, occassionally there is an extended rest in there. Usually Conan being tended by the love interest. If there is no plot reason for the extended rest, it never happens. Conan shakes off the wound and off he goes.
It's funny, you can name any number of genre examples of characters using Healing surges, yet, for some reason, they aren't considered at all. Exploder quotes from The Lord of the Rings yet ignores Frodo's mithril armor. Constantine is mentioned, yet, the fact that his lung cancer never actually stops him from doing anything, isn't.
Look, I think this is straying somewhat off topic, so, let's have it out shall we? We'll start naming examples from genre or popular fiction where you have extended rests and healing surges/second winds and we'll see who runs out first.
Who's game?
I can't think of many situations where the damage is described as bad and a short rest later they are fine and dandy. Most attacks usually are near misses or scratches. While books where people get run through and seem fine moments later exist they are not common in my experience. Now I'm a fan of Manga like Bleach, one piece, and Naruto, and it happens almost every combat panel there. So for many looking to books as an example the 4e healing system does not jive with them.
Also books and movies are not something everyone wants to emulate. People frequently don't want the plot immunity that main characters in novels and movies usually have. They don't want to die, but they don't want to be immune to it.