Like the book of faces, the relationships here are complicated to say the least...
At a very high level - it's unlicensed spectrum, and due to Part 15, WiFi and LTE-U/LAA are secondary users of that spectrum...
Both are allowed to use it, as long as they stay within the limits...
WiFi - lot of people have stake in this, esp considering the crowding of the ISM band (and getting more crowded every day with the IoT rollout), vs. WiFi making major use as a result...
It's a policy issue, as many of the benefactors of LTE-U are also Licensed holders of large swaths of "private" spectrum that they have exclusive use of, and want even more by jumping into the 5GHz unlicensed space as well...
But the interests here go beyond use "Joe Six-Packs" both general users and enthusiasts...
Big Cable has a lot at stake as well, as they've been aggressively using unlicensed spectrum to offer their services inside the home/business on the WLAN front in both 2.4Ghz and 5Ghz as part of "cable WiFi"... so for Big Cable, there is a business interest...
FCC is kind of hands off here - as long as it doesn't interfere with the primary users, there isn't much they can say, so it's down to Big Cable vs. Big Telco vs. the commons of unlicensed spectrum...
If the FCC takes on a Laissez-faire approach, then all is lost, and your personally owned and operated WiFi will be competing against a fairly powerful (and useful) technology with LTE, along with other big business interests deploying carrier grade WIFi commercializing the community commons...