This is actually the lead-in to the question:
Why the blankety-blank do Italian ATMs dispense large notes when Italian shops are not prepared to give change for anything larger than a five?
I tried to pay for something that cost €9 with a €20 note. No, they didn't have change. Seriously? This was an actual shop, late in the day. €11 change seems pretty reasonable to expect.
Also, I use the same ATM these people do, presumably. And it presumably dispenses large notes to them, as well, unless all Italians live in fear of carrying more than €40 at a time. Which they might, but I doubt it. So they should understand the large notes.
It's not my fault; don't give me that look. At least I'm trying to buy something from you. Next time I'll keep my money, and you can go out of business.