using data processing to create a profile of someone.
Google is not creating a profile of someone. They don't have special access to data like a credit agency.
They don't know if you pay your bills on time, or have a mortgage, or how much you owe on your car loan, they will not know you bounced a cheque unless it went to court and became a public record. A credit agency has very specific types of data from specific known sources. Google has millions of bits of random crap, that's why you need a search engine in the first place. Your comparing apples and rocks.
Only famous people will get anything like a profile because there is so much public info available on them, but you still will not know how much they owe on there credit cards.
If you google my name there is nothing that is actually me until page 17, and you would still have a hard time telling it was me if you didn't know me. On page 19 there is a story about a guy that streaked a football game, wrong city and a few years too young but might be bad if someone thought it was me... can I request that it be removed? How would google know it is/not me?