I would have gone more with varying odds than a simple on/off switch. I have always viewed region types as describing the most prominent features of a region and never even considered that a towns land region was really 100% town or that a woodland region has nothing but trees.
Woodsland - 50% chance of Deer, Boar, Bear, Wolf...
Rural - 25% chance of X, Y, Z, 30% chance of A, B, C
City - 5% chance of ....
Beyond that, if you consider the hunting domains idea I threw out, Dukes and Kings have much greater access to prime hunting grounds that knights and region lords. When the king holds a hunt the whole realm is his playground while Dukes hunt anywhere within their duchy they please. To join such a hunt is a great honor and a memorable event. When a knight or lord hosts a hunt they are restricted to their region (optionally reduce the odds for a knight to reflect his estate size), it is a smaller affair and the chances of finding game can be severely limited if their region does have much hunting ground.
