We have gone that route, but we receive subpoenas requesting a copy of the deposit slip which shows the break-down of currency and checks. We report it is not available. I personally find it much harder to do research on accounts without them.
Alos I wonder if a customer disputes a deposit saying they gave the teller $X, but it doesn't show on their statement.
At my previous bank, we did use altered deposit tickets in finding employees stealing from customers.
But, the bank decision was the risk was low and this was a time saver for our front line. But if a customer provides one, it is imaged with the work.