I'm not getting any firmware update notification although I set it up

I set it up to check daily for new firmware and notify me, not to install anything automatically.
When I log-in with an account (not admin, I disabled that account) that’s part of the administrator group I’m not getting a desktop notification of new firmware, although I checked that box.

I set up notification center to send firmware update notifications. all severity levels, and using two methods: push notification and email. I’m not getting ANY notifications of firmware updates.
Both methods work just fine: I am getting push notifications for app updates, I get the test notification mail.

Only when I manually check for updates I get to know that there’s a new firmware version.
How do I fix that?

Edit: I am getting all the push and email notification process (downloaded, unpacked, started, finished, etc.) so I’m starting to think that the problem is not on the notification side, it’s that for some reason the NAS isn’t checking for updates automatically. Should there be a cron job for that? Anything I can check in QTS or using ssh to see what’s going on with that?

Edit2: I see a cron job for checking for updates:
15 9 * * * /sbin/auto_update 1>>/dev/null 2>>/dev/null
Is that correct? Is that what it should look like?