Pedantic
Legend
The point of my post was to refute the contention that "variance of an assigned profile to a thing undermines the credibility or the realized objective nature/features of said thing."
Multiple, durable, respected & used, systems for grading routes and boulder problems within the climbing ecosystem. Yet the physical characteristics of any given climbing route/obstacle will endure despite that and the climbing ecosystem simultaneously thrives along with it.
There are legions of examples like this aforementioned Imperial vs Metric and from martial arts to ball sports like American Football (where there is significant variance in expression for the same underlying phenomenon, yet you have a durable, legitimate phenomenon in concert with a thriving ecosystem).
I also found this post confusing. The statistical description of a thing in an RPG meaningfully is the thing, it is the closest we can get to assigning it physical properties that players can go interact with. I cannot create a fictional rock climbing problem, but I can say the problem is a DC Y to climb. That's obviously reductive, (the most obvious place it falls apart is a player trying to climb the same thing repeatedly with the same level of ability and generating a stochastic spread of successes and failures), but it's generally good enough and about as well as we're going to do with dice and simple addition.
That the interaction may be different over time is part of the appeal of a system of progression, and the whole heroic omnicompetence that is part of the genre is well-modeled by progression being so chunkily tied to a small set of skills instead of more reasonable distributed across general skill and a variety of specific problems.
You seem to be arguing there is some other, underlying thing underneath the rules modeling. I think the opposite case is that it's incumbent on the rules to be as earnest and complete a model as possible, so that interaction with them will produce knowable and interesting results. Stat blocks aren't variable attempts at describing features of some other reality, they are imperfectly creating it.