So either this extension downloads a hash of your google password and compares against it each time, or it sends a message to Google with whatever password you

So either this extension downloads a hash of your google password and compares against it each time, or it sends a message to Google with whatever password you just typed and they check it there. Does this also throw warnings for websites where you just use the same password as your google account (which you shouldn't be, I know I know)