Yeah, I don't expect bike sharing to ever be profitable outside of (major) city centers. Maybe that's a good thing -- once we get over this stupid fad of monetizing basic improvements to urban life, we'll be able to buy the equipment for pennies on the dollar and run it as a public service ;)
FWIW, I think your analysis (young, educated, bourgeois) is spot on, and that bikeshare companies are completely aware. Check out this map of Citi Bike's availability:
https://member.citibikenyc.com/map/
If you're not familiar with NYC: it's only available in business, wealthly/middle-class, and rapidly gentrifying areas. To continue my baseless speculation: it wouldn't surprise me if Citi Bike's (hypothetical) profitability relied on only serving these populations. Reprehensible, and another reason to agitate for bike shares as an extension of public transport.