By big "C" catholic, I mean Roman Catholic. A capital letter doesn't necessarily make "catholic" mean Roman Catholic, but that is how I often clarify it for myself.
The Confessing Reader (also under Bishop Curry) has posted on Bishop Curry's comments to the Archbishop of Canterbury while at the House of Bishops meeting. It is being reported (but, to my knowledge, still unsubstantiated) that Curry disagreed with ABC about the meaning of catholicity. The Confessing Reader has followed this up with a commentary on what is meant when we say "catholic".