So what you are saying is that for every infringing item on a search engine, the person who created the work needs to go to court.
It costs roughly 10K-20K to pursue one case of someone posting a work through the courts. That's one case. If you have hundreds of copies of your stuff posted online ...
To put that in perspective, the average advance on a book is between 5-10K and most don't earn their money back. Taking one takedown through court is likely to cost more than most works earn and the only one making a profit is the lawyers. (well that and the advertising company running adds against the pirated content)
What *is* the problem with someone listed as the copyright holder on the work contacting a search engine and saying "can you remove these links to my work please"?
(the reality is that people on the search engine end don't want to do the cursory validation of "yes that person seems to be the registered copyright holder of that work")
There needs to be a way for creators to get this sort of thing remediated without it costing them thousands in legal fees.