Oh and oats are a mine-field as far as labelling goes. The Coeliac Society of Ireland says a gluten-free diet means avoiding wheat, barley, rye and oats. I know my sister doesn't eat oats though we had a brief period of hope that she'd be able to some years ago. I think the research briefly looked promising or something.
Anyhow, just to prove your point, I actually bought a packet of porridge oats this morning labelled 'everyday gluten free' (in big writing) and on the back (in tiny writing) it says 'most gluten allergy sufferers can eat pure oats without any effect on their health. However, if you suffer from gluten intolerance, introduce this product to your diet carefully and if necessary consult your doctor'. Hardly conclusive!