The governments of the world love to use crimes that produce an understandable emotional revulsion as justification for measure of vastly wider reach.
Child abuse is perhaps the most common of these.
The current moves to make unacceptable sites simply not show up on search engines is actually about getting the infrastructure in place to make whatever is deemed ‘unacceptable’ invisible with the flick of a switch.
I do not believe for a moment that the people pushing for this do not have as their ultimate goal giving the state the ability to control everything you can see online. And if you think the state, any state, can be trusted with that kind of power, then you are either a fool or a totalitarian.