nor
paper or cardboard (both of which go for recycling), although in
principle there's no reason why these last two shouldn't be composted.

Monty Don, mentioned a few years ago, that he adds a greater % of
cardboard / paper, than I would ever had imagined, but always willing
to have a go, I tried adding every scrap of corrugated cardboard and
shredded paper, I had (possibly 25%) , and have never had such good
compost.
It rots quicker.