>>Why do you write golf and he writes Cricket?
The paraphrase misleads. I used a prefix before "cricket." The distinction between "a" game of cricket" vs "the" game of Cricket (or even The Game of Cricket) is what directed choice of capitalization. Common versus proper. I judged the "the game of" prefix as denoting proper status since it names the game with absolute specificity rather than a common episode like Bill's round of golf. Similar to "Library of Congress" versus library at 101 Independence Ave SE. No doubt a curmudgeon purist would side with you ;-) but IMHO it's arguable if you include my prefix- though not worthy of this much attention.
"... They ne'er cared for us
yet: suffer us to famish, and their store-houses
crammed with grain; make edicts for usury, to
support usurers; repeal daily any wholesome act
established against the rich, and provide more
piercing statutes daily, to chain up and restrain
the poor. If the wars eat us not up, they will; and
there's all the love they bear us."
-- Shakespeare: Coriolanus, Act 1, scene 1
