Yes, I care a great deal about preserving net neutrality. I want to be able to access the content I want to access without my internet service provider having the right to charge me extra, throttle my connection speed, or deny me access. In places without net neutrality--and yes, there are some--that's what happens.
Like streaming videos from Amazon Prime? You might have to pay extra, because your ISP has a deal with Netflix. Want to learn more about Islam or Scientology? Sorry, your ISP doesn't think you should, so sites are blocked. Want to talk politics or religion with like-minded folks? Too bad, because your ISP doesn't agree with your politics or religion, so your connection to those sites is made real, real slow.