Re: won’t be saved to your Google Account
Yup. And, there are times that I'm just not going to use a Google account. In fact, a good portion of my queries are going to be by way of privacy oriented services like Duck Duck Go and Open Street Map.
Also, I make good use of Ghostery, EFF Privacy Badger, UTM parameter strippers, Self-destructing Cookies, and JavaScript blockers. It's a bit of work with all this, but it's very educational, learning just how much tracking is going on.
Oh yes, most web sites optimize for Google by using UTM parameters in URL's. They're all over the place. So, you're being tracked even when you don't use Google directly.