This will vary a lot depending on the school, but is generally true.
Ok, so now that you've completely redefined everything, you are basically just saying that when somebody that barely knows what they are doing they will rarely defeat somebody that is almost an expert.
That's not exactly a revelation. You will rarely see an intermediate skill level white tap an intermediate skill level blue either, at least in the conditions that you describe. Certainly not in competition, as you can rarely see ranks mixed up in competition. If you're talking in class rolling, then the brown belt isn't really training very well. If you're not tapping in training, you're not learning.