I suspect it's an issue of jargon or technical difficulty. Like I mentioned, my math background is at least decent, and I have some serious trouble wrapping my mind around what issue is being debated here. I strongly suspect that has more to do with how the issue is presented and explained than with the issue itself, though I could be quite wrong.

There's got to be a way to express this in plain English (or even plain math); how, for example, do a frequentist and a Bayesian see the same problem differently, and why should we care?