I guess this whole idea swings on whether someone believes hit points are a combination of body/fatigue/luck/plot amour or if they think they are 100% body.
To me personally, I've always thought it obvious they were the former. High level fighters get more stamina for dodging, more skill for turning mortal blows into lesser ones, etc. It didn't make sense to me that a high level fighter is suddenly physically more bulletproof. That they can suddenly be stabbed 8 or 9 more times through the chest than a 1st level fighter. So the idea that a blow could be so massive that it was extra taxing to avoid (whether desperately dodging or enduring more shock through shield or armour) is perfectly reasonable.
I can see how someone who does see hit points as actual meat points, that high level fighters really do grow bigger or more dense, would definitely have a problem with this.
This sort of 'miss but not' mechanic isn't entirely new. Heavy Armour Master sort of does the same thing in reverse:
Graze
"A ha! He rolled under my AC! A miss!"
"Yep, but you still take 4 points of damage from shock/fatigue"
"But he missed..."
Heavy Armour Master
"The monster rolled over your AC! A hit!"
"Yeah, but my armour reduces the damage to nothing!"
"But they rolled over your amour!"