Oh, I just remembered that Ireland isn't in the Schengen Area (due to the Common Travel Area with the UK). So you wouldn't have a domestic-style flight from Ire

Oh, I just remembered that Ireland isn't in the Schengen Area (due to the Common Travel Area with the UK). So you wouldn't have a domestic-style flight from Ireland to Italy. But your experience then does seem to confirm that Dublin doesn't offer sterile transit at all, which is a bit of a surprise to me.