Clearly you have no interest in changing your mind. I want to be wrong. I really do.
The fact remains that you can only heal wounds in the way that RFW describes. This section gives a strict order in which heals are performed, and characters are not included in this strict order. Face it, this is for command models and rank and file troops only.
The order isn't irrelevant, nor is it optional. You play the game by the rules (all of them, not just the ones that suit you) or you're cheating, that's how this **** works.