Fair, definitionally they are entirely distinct. In the real world, the concepts interact. The number one in distinct from the number two, but they relate and interact in a vast number of ways.

As it relates to Google search, I think it is very difficult to construct an argument that search is a natural monopoly. There's no limitations on parallel processes the way there are with roads or railroads or electric infrastructure. In fact, people have access to a long list of competitors at all times.

You can make it much better case that they are engaging in monopolistic practices, which is a claim very different from a natural constraint