Will knows when to be a pedant, and when it's necessary not to be a pedant in order to communicate more effectively. Some people don't know when not to be a pedant - I tend to be one of them - and it's interesting to see Will transcend that.
No, we call them crosswords. ("Cryptic crosswords" when it's necessary to distinguish them from the sort that's dominant in the US, and yes, that can be abbreviated to "cryptics", but that wouldn't be the norm.)
I'm guessing that the complaint was actually about "England" versus, say, "the United Kingdom".