Plus they indicate that damage isn't necessarily purely a physical countdown in DnD anymore, it can represent morale/determination/loyalty/etc as well as physical health now (why things like Invigorating powers can give THP, as they can be looked at as boosting the PCs morale and drive to succeed).
That works for me.
Your hp does indicate your will to fight.
In terms of real world, if you hit any normal human (mob level 1) with a max sword damage you would kill him. But as a tough human fighter with an armor, you can take the same lethal damage tons of time and do not die. Does that mean you are not human?
The best example is inspiring word you call out to a wounded ally and offer inspiring word of courage and determination...
In mechanics you heal him "healing surge +d6 and something"
In cinematics you boosts his will to fight
That will that can be taken by a powerful attack that misses you but affects your morale.