Having your logo be not-Google doesn't clarify what you are, just want you aren't.
What you would you expect out of the not-Nike brand?
As Google evolves and changes, the meaning of not-Google branding becomes ambiguous. Does it mean the not-Google-from-2015 or the not-Google-from-2020?
The definition of the "same things as Google" is involving constantly.
Interestingly enough, New Balance positioned itself to be the anti-Nike, touting its shoes as U.S.-made and not benefiting from exploited foreign labor. I read somewhere that the way their N logo is put on their shoes is meant to echo the Nike swoosh. And people have criticized that branding as insufficient, as well.
What you would you expect out of the not-Nike brand?
As Google evolves and changes, the meaning of not-Google branding becomes ambiguous. Does it mean the not-Google-from-2015 or the not-Google-from-2020?
The definition of the "same things as Google" is involving constantly.