Yep. I cringe anytime I see an article that talks about "building affordable housing".

Cheaper housing is housing that's older and not as nice in unpopular areas relative to other housing that's newer, nicer, and in more popular/convenient areas.  

Building new, nice housing in convenient locations that's subsidized is NOT a fair application of "affordable".  It's just plain wrong to give some poor people a BETTER place to live than so many others that are settling for older, crappier, worse location housing because that's what they can actually afford.