that's got to be right
otherwise a high count will offer us no advantage except for the 3:2 BJ payoff. A stiff hand is less likely, but if you get one, it seems to me that it is way more likely to bust, which is why we have indices for things like 16 vs 10, 15 vs 10, 14 vs 10 and so forth.
There's nothing like the hopeless feeling when the dealer has a 10 up, you have a 12-16, with the count high, knowing that to stand loses, to hit loses, and if you can't surrender, you are simply ripped.
So maybe the question was either phrased wrong, or it is not the same question as what you proposed. My goal in a high count is to not have to hit, except for those doubling opportunities of course. :)