Yea! I currently have them turned on for minor security releases only. The major ones i always do by hand.
So I wouldn't delay them on a live shop.
It feels a bit weird when a security fix has only been out a few hours and you're already running it, but a blank page for a few hours is still better than a known hole... A blank page I can fix.
A hole I might not even know about untill it's too late.
The big ones are different. There I want to look at the changelog first and have a moment to check the shop afterwards, so those I plan and do manually.