Yes true. The G-Droid apk can also be downloaded from here https://f-droid.org/en/packages/org.gdroid.gdroid/
G-Droid can do unattended installation (and uninstalls in version 0.7.1) on rooted phones. It will ask you. There is also a setting to allow root to be used
In the my-apps tab there is also a button to 'update all' which work well with root permissions. Without root each update installation requires 2 more clicks
But no, there is no service yet to check for updates automatically and then install them automatically
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