From where I sit, that's the problem ad-supported media has, not the other way around.
Look at TV before Netflix/iTunes/etc. came along. It was pretty much a crap-fest of lowest-common-denominator programming that was created based on who sold the most ads. It left out large sections of the population (minorities, women, LGBT, etc.) for the most part, relegating them to stereotypes, if they were mentioned at all. It also limited content that discussed topics that were unpleasant to the media gateways. (I've heard it said that NBC News wasn't allowed to discuss nuclear power at all because GE, which owns NBC, was in that business and didn't want any bad press from their own company.)
Now a television show on Netflix/HBO/etc. can discuss topics that it wants without having to worry about whether a sponsor might drop out, or they might offend someone, or because they didn't appeal enough to the mainstream.
Removing ads has freed media. The current system isn't perfect, but it's a hell of a lot better than 3 major networks pumping out sitcoms about white fat guys married to beautiful women.