Google uses this stuff to advertise for toys etc. Using it to catch a fraudster is more important than that.
If I were on trial when I was innocent, I'd really appreciate having this information available.
Though if there was empirical data to suggest that it was more risky, I could be convinced.
Your searches aren't even private since you let google look at them.
Nazi's used IBM, VW, Bayer, etc.
Letting them get search data about fraud won't make that any more or less likely though.