Maybe. But picture a basket set in a bowl behind a dense stand of closely-spaced trees. 1000-rated players have an easy throw over the top, and the bowl directs most errant shots to the basket. I could see 80% birdies.
800-rated players lack the power to go over the top, so they play poke and hope. If the trees are dense enough, I could see 20% pars and the rest worse.
Does such a hole currently exist? I dunno. Could such a hole exist? Yes. Would the scores be exactly 20% pars? Um, maybe. But the exact percentage is not the point.
If said SINGLE HOLE existed (as Steve W says it might) that's all well and good. But I said a COURSE. No such course exists. Not one on which this ratings system has validity and internal reliability. And if you were to construct one, then you have, once again rendered the experiment invalid-- so your example is meaningless when it comes to drawing valid and reliable conclusions about the ratings system.
As Inigo Montoya wisely said, "You keep using that word. I do not think it means what you think it means."
If you substituted "prohibitively unlikely" or even "completely unrealistic" for "impossible", I would probably agree with your point unreservedly.
Apologies for focusing on the word "impossible", but much real-world anguish has been caused by the difference between impossible and highly improbable. For an example, see the demise of the Long Term Capital Management hedge fund in the 1998 financial crisis.
Fortunately, possible flaws in disc golf player rating systems are unlikely to disrupt worldwide financial markets.
Dude. I have a PhD from one of the top 25 colleges of education in this country. I know what the words mean. Quit questioning what "you think I mean or you think I don't know what it means" and have a discussion with what I mean. Which, ironically is what I am saying (imagine that, eh?). I even gave an example outside of disc golf. While a DNA paternity test may only calculate the probability at 99.999% that you are the father (the calculation itself being a mathematical model), the REALITY is that there exists no other possibility. It's certain. You the daddy.
I don't mean "prohibitively unlikely" or even "completely unrealistic." In this context (see post #161, purple) it is not possible. And I work now in finance. So don't give me a "certainty" about any hedge fund. You are comparing apples and oranges talking about theoretical mathematical constructs versus the reality of financial markets. No comparability in that analogy at all.