It's not about retroactively censoring, it's about proactively making sure the content isn't there in the first place, aka monitoring, which would be impossible at scale.
Also, monitoring would open Google up to even more liability: "We're not quite sure if this video is illegal, let's bring it to court. Hey, the courts have found this video to be illegal! And you reviewed it and approved it. You're responsible!"
Also, monitoring would open Google up to even more liability: "We're not quite sure if this video is illegal, let's bring it to court. Hey, the courts have found this video to be illegal! And you reviewed it and approved it. You're responsible!"