[i realize that question sounds absurd... but i just want to be certain. ]
Maybe it's not too far-fetched. I only bothered to look because I long ago had to open a gmail account in order to use Google Analytics (to track usage on my daughter's page).
I have never, ever used the gmail account but I followed the process anyway....more out of curiosity than anything else. What I found was an up-to-date list of the places I visit when on the web...nothing at all related to mail.
Have never used the email account, have never used their browser, and yet..... Hmmmm.
ryck
"What Were Once Vices Are Now Habits" The Doobie Brothers