The only places I've seen a bike share program seem to work are where there are tourist attractions jut a bit far apart to walk, but on near level ground... such as the beach areas of so Cal, or the microbrew area of San Diego, or the areas so dense that cycling just makes sense, like NYC or SF.
Oulo Finland did not have bike share when I was there, but it was a great cycling area, so I rented from LBS. friends that have been to Denmark have also easily rented bikes.
So there may be demand in limited well laid out places... that are not too automobile centric.