It kind of is. If Google divested search and the new company provided utility style access to that data feed, I would agree with you. Webmasters allow a limited number of crawlers based on who had market share in a specific window of time, which serves to lock in the dominance of a small number of competitors.
It may not be the kind of explicit anticompetitive behavior we normally see, but it needs to be regulated on the same grounds.
Regardless of whether Google has broken the law, the arrangement is clearly anticompetitive. It is not dissimilar to owning the telephone or power wires 100 years ago. Building operators were not willing to install redundant connections for the same service for each operator, and webmasters are not willing to allow unlimited numbers of crawlers on their sites. If we continue to believe in competitive and robust markets, we can't allow a monopolistic corporation to act as a private regulator of a key service that powers the modern economy.
The law may need more time to catch up, but search indexing will eventually be made a utility.
Whether by IP, user account, user agent, whatever