The tables show how much worse a hitter performs in a 2-1 count vs a 1-2 count, as well as every other count. That should be intuitive.
It should be obvious that a 2-3 count is much better than a 3-2 count since the batter would be struck out. The same is obvious for any 2 strike count.
Multiply all those advantages by the probability those counts occur, and there’s the value.
Seems very intuitive to me actually.