This could be a deal breaker for me depending on how things go. Time to go read the article.
EDIT1:
If mundane bandages are all the fighter's companions have on hand, it will take a couple of days for the fighter to return to action.
Yay! Big fan of this. Also a big fan of the HP of a 1st level fighter could have being low like 10. Not 25-30 at level 1 like 4E.
EDIT2:
Your character gains Hit Dice just as he or she did in editions before 4E, though some classes use different dice now. Fighters gain a d10 Hit Die per level, clerics and rogues gain d8s, and wizards gain d6s. When a character rests, Hit Dice allow that character to regain hit points. Your character is bandaging wounds, applying healing herbs, having some food and water, and otherwise spending time to recover. You can roll one or more of your character's Hit Dice to determine how many hit points mundane treatment allows him or her to recover.
This sounds alright. It's not like having two or three times you HP total worth of healing surges you can spend at the end of every fight over the course of a day. I wonder how often the HD refresh. It looks like a day's rest will give them back to you. Extended rests to get HD back, short rests to use them. That works for me.
Given that non-magical healing will be a die roll equal to the die roll you rolled to determine your HP, you don't have the 4E issue of becoming instantly fine after a single night's rest. You could be in negative HP and roll poorly for a day or two and not be 100% when the world needs you. But you'll still recover fast enough that when supplemented with some magic, you can probably take a protracted beating and still be heroic.
So is it a deal breaker?
No. I like it and look forward to testing it out.