It wasn't so much a matter of "not counting cash" though - it was counted frequently, and the problem was that when it was counted, bugs in the accounting system had accumulated to make it look like there was cash missing. These errors added up to a lot of money that never existed seemingly being missing.
The crazy thing to me is how so many people (nine hundred!) could be prosecuted for exactly the same thing, with none of them having any seemingly unexplained wealth, suspicious transactions, money trail, or anything like that at all... I mean, sure, for the first few you might just think they were smart in hiding it, but even before they knew about the bugs and covered that up (and fraudulently kept prosecuting people), after a while surely alarm bells should have been going off somewhere. These were large sums of money, somebody should have stopped and asked "is the most likely scenario for this that we keep employing dozens and dozens of masterful money laundering thieves as postmasters and sub-postmasters, or is something else going wrong"!