Simples! (apparently!) I'd put bubble-wrap in the bin and as every schoolboy knows, that's not recyclable.
So, I had to empty the bin and remove the bubble-wrap before ringing the Council to arrange a separate pick-up 'sometime soon'. I'm not quite sure how sending out a separate dust cart ties-in with 'being green', but there you go!
Knuckles well and truly 'wrapped'.