An excellent way to determine the answers to questions like these is to use the 'settlement details' scroll in the lower left hand corner of your building/recruiting browser.

With the menu open, walk your governor into the city, you should be able to see the change he creates in corruption, unrest, income, etc., etc., etc.

Now, just to be sure, walk him out of your city, and see how things change again.

This will give you a good idea of whether or not he's worthy of running the settlement.