This feels like a corporation complying with their obligations under the DMCA.

To maintain their safe harbor status, companies have to remove allegedly infringing content in response to a properly filed takedown notice. This does include links stored in google's search results. This is what a company like google has to do when storing user data on servers in any country that signed the WIPO Copyright Treaty.

They don't seem to be doing this in a malicious way. They have done their duty and removed the offending links from their service. But they quite kindly chose to notify the user by email, including the exact URL that was removed. The user can store that link elsewhere.

It would have been far easier to remove the link silently.