So far there isn’t a lot of wifi in Japan. Maybe it’s just Kyushu, but hotels don’t seem to have it available. They have LAN access, but no wifi. In Korea it was everywhere, including on the train and the hydrofoil.
A quick scan in front of Nagasaki Station showed free wifi in a nearby pigeon-infested plaza, so this blog could be brought up to date. But while doing so, your intrepid blogger was pooped upon by one of the aforementioned pigeons. This shows the importance of making wifi available in hotel rooms.