Comment 1 for bug 253412

Thanks for your input. I believe this is a feature request for update-manager, not a bug for software-properties-gtk. I've set the package hint to update-manager. The importance should be set to wishlist.

Meanwhile you can put the following script in /etc/cron.daily to automatically check for and install most upgrades:

#!/bin/bash
aptitude -y update && aptitude -y safe-upgrade