My mistake, it was indeed undone by the FCC rather than the courts. I could have sworn it was undone by SCOTUS, but I guess a refresher is needed every once in a while.
Regardless, I think the main point from the proceedings is: it was only found constitutional because of limited airwaves available (i.e. physical constraint of the medium, or exclusive government licensing). The same rule would not be constitutional if it applied broadly to "the press."[0]
In that sense, my point remains: there's nothing intrinsically exclusive about the medium of Google's websites that would prevent another from competing for the same "airwaves" (other than their perceived popularity), so a requirement that Google shares its "airtime" with others would not be supported by the precedent.
[0]: https://en.wikipedia.org/wiki/FCC_fairness_doctrine#Decision...