http://www.free-definition.com/Kinai.html

Those who complain against the use of the term Kinai instead of Kansai, such
as Dave Fossett, see the definition above. It mentions that - Nowadays, the
region is usually referred to as Kinki or **erroneously** Kansai. Kansai
vaguely means the "western part of Japan".

Kaz was right.