I'd expect quite the opposite
You might even find your costs dropping. (Hey, it's possible.) It's families like mine that could see potential cost increases...we sometimes watch Netflix like it's tv, which means we're consuming huge amounts of data and network resources.
Our ISP is actually upping our costs as of next month, but it's just a $10/mo increase that comes with 20% better bandwidth, so I'm not complaining by any means. If, at some point in the future, unlimited access plans either go away or become too dear, we'll simply have to re-consider our options.