Another flavor of this I've encountered is people in the management chain who can only think about faults per time interval and not about faults per interaction.

So you make a tool that prevents errors and speeds up a process, now people use it four times as much, and now they wonder why they're only seeing half as many faults instead of an order of magnitude less.

We are humans. We cannot eliminate errors, we can only replace them with a smaller number of different errors. Or as in your case, a larger number of them.