Bike share is everywhere in my location, dock and dockless. But I don't see it eliminating folding bikes because they are heavy as heck and single speed and slow and cumbersome to ride. My location is not flat (SF Bay Area) so their utility is limited to selected areas. Fine if you want to hop on one to get lunch on your lunch break. Great if you are a tourist. But for commuting to work or riding for pleasure/exercise, they are not desirable. I've actually seen a lot more folders lately, more e bikes, more personal bikes in general.

Share bikes will get you around downtown but they won't get you there and back without a lot of hard work. Too hilly.