I have an extension with a background page, and by default this causes Chrome to persist after you close all windows, and puts the Chrome icon in the system-tray. I would like to avoid this -- I do not want my extension to cause the Chrome process to persist after closing all Chrome windows, nor do I want to cause Chrome to appear in the systray.
According to the only docs I could find on this indicates that the user can set this option globally across all extensions, but that isn't what I'm trying to do. I'd like the extension to be unassuming / unobtrusive, and don't want to change the user's browser behavior. Does anyone know how to accomplish this while retaining the ability to have a background page?
UPDATE
With manifest version 2 you can now run event pages that are not persistent. Event pages are very similar to background pages but are only loaded when needed by the extension.
Example from the event pages doc on setting a non persistent event script in your manifest:
Here is a tutorial on migrating your Chrome extension to manifest version 2.
OLD ANSWER
Currently, if your extension has a background defined in the manifest.json file, it will run before Chrome is launched and continue after all windows of Chrome are closed. That is unless the user changes their settings like you mentioned. There may be future versions of Google Chrome that allow for different functionality but you, the developer, won't be able to get around this issue at this time.
An excerpt from the background manifest docs