If you estimated decks remaining exactly and if you calculated the true count exactly then the KO.ba and the unbalanced KO are identical They are identical mathematically. However, in actual use humans need to use integers and KO unbalanced is a level one count very easy to keep And unbalanced KO has a pivot of a true count of 4 so around it's pivot the KO true count is very accurate and insensitive to errors in estimating decks remaining. So you can make errors in estimating decks remaining around a true count of 4 with very little penalty in the KO true count calculations
But if you estimated decks remaining exactly and did true count accurately like a computer then both KO.bal and unbalanced KO are identical. But you humans cannot estimate decks remaining exactly and cannot do true count calculations exactly then use unbalanced KO as it give very accurate true counts around true count of 4 even if player makes gross errors in estimation decks remaining -- you still have a very accurate true count around a true count of 4 with the KO unbalanced.
Attached are proofs (I may have given them to you before) that mathematically the KO.bal and KO unbalanced are equivalent and that they would produce identical results if fractional tag values were calculated exactly and decks estimated were exact and true counts were exact. Since humans cannot do exact, do not use KO.bal but uses its mathematically equivalent KO unbalanced count with a pivot at a true count of 4.
KO Identities (1).jpg
KO Identities (2).jpg
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