I looked into it, and this is definitely not the case.
Google Chrome hasn't synced for over a week: http://imgur.com/WmrAS
And my laptop is the only one thats accessed my account all month: http://imgur.com/NeL01
Chrome Sync is notoriously bad at reporting what it is or isn't doing, at least in my experiences.
If I were you I'd turn on 2-factor auth and forget about it.