The requirement of D&D to track specific numbers doesn't really change the fiction.
The main problem in D&D is that the numbers don't actually map onto the fiction in any meaningful way. You are free to narrate that 8 HP of damage in any way you want and it really doesn't matter. All that actually happens you subtract 8 HP from the target's current HP total.
So claims that not fudging die rolls somehow invalidates the fiction fall rather flat to me. The die rolls (other than a few very specific ones) don't ever generate any fiction. Not really. We just spackle over that fact and ignore it. Make a grunting noise and say, "the baddie takes a hit" and move on. Really, the old "numbers above the head" thing in old Final Fantasy games is probably the best representation of how D&D combat works generates any actual fiction.
To give another example, I was playing in a game some time ago and my character (as well as the others) had to climb up a wall. So, I picked up my die and started to make an Athletics check. The DM stopped me and asked, "How are you climbing this wall?"
"I have no idea," I replied. I honestly know next to nothing about free climbing a wall. "Left arm over right?"
Now, here's the thing. This turned into a rather lengthy discussion about the need to narrate actions. At the end of the day, I had two main points. 1. Nothing in the mechanics or the game requires any narration for this. Make the check, climb the wall, move on. And, 2. (and probably more importantly) not only did I, the player, know absolutely nothing about how to climb a wall, neither did the DM! He had no free climbing experience. He didn't know anything about how to climb either. So, any narration I made, was largely pointless because he had no meaningful way to judge my narration.
Which all rolls back to the idea of needing to narrate die results. Considering that none of us has likely ever been bitten by a dragon, what narration could you make that is any more or less plausible than any other narration? The mechanics don't care one bit if you narrate the results or not. We do the narration to make ourselves feel better and make the game more fun, but, let's not pretend that the narration actually impacts play.
IMO, when DM's forget that narration doesn't actually impact play and start insisting on narration that they have zero actual means of judging, the game really suffers because there becomes a widening gap between what's going on in the DM's mind and what the player's are envisioning.