Google Chrome gets installed into the APPDATA directory. In that location, any process running on the system under the current user can alter Chrome's files, since it isn't within Program Files and isn't subject to UAC/admin. This makes a standard Chrome install inherently less secure than Firefox, Opera, etc installed according to Windows' guidelines within Program Files. Google makes available another Chrome installer that installs into Program Files, but it isn't promoted to users (so they're unaware of the security differences) and it can't be updated without UAC/admin rights.
It looks like my browser was not updating because of a 1.5 year old bug #711475 which is still marked at “New”. If it hadn't been for my interest in asm.js, I'd still be sitting at version 17 or 18, despite auto-updates and background service both being checked.
Not auto-updating the browser is a much bigger security risk than your hypothetical issue for Chrome.
Or did I misunderstand what feature you are referring to?