The biggest issue here is that folks insist there can only ever be one narration.
So damage must include a bit of meat damage, in order to follow healing rules and that sort of thing.
Fortunately for me, I don’t see that need.
I feel, for the reasons that I outlined, that there is only one consistent narration with respect to hit points - although I also concede that if your throw 4e in the mix with its very different game system from the rest of D&D, that contention gets harder to justify.
But - and this is the important point - consistency is an aesthetic choice, and whether or not your game should be consistent is entirely subjective.
So if you want to forgo certain aesthetics, you are perfectly free to use inconsistent narration or even no narration at all. I'm sure most tables skip narration as pointless some or much of the time, simply to speed play and avoid turning narration into a chore where you have to think something up even though this is, for example, the 18th time someone has hacked into a juju zombie with an edged weapon so far in this combat, or the 16th time a juju zombie has landed a hit on a PC in response.
In the past, when this topic has come up, people with disagreeing opinions have I think spent too much time trying to convince each other that their way was more consistent than another way, resulting in a lot of exaggeration by both sides, since to be frank while I think you can have consistent narration with hit points, if consistency was among your highest aesthetic goals you probably would use a more realistic wound system. The real argument in my opinion isn't over which side is most consistent. The real argument in my opinion is over how much you should care. And if you phrase the argument in this latter manner rather than the former, you no longer have to be judging the other side, or contorting your own logic to try to pretend to vastly more consistency than you actually have because you are afraid that if it turns out your are less consistent than the other guy, that you are somehow wrong. It's perfectly fine to say, "You know, my table just doesn't care that much. It's a game."