That's the secret lots of enterprises have relied on for ages. Don't be bleeding edge, let the rest of the world gineau pig the updates and listen for them to sound the alarm if something's wrong. Obviously you do still need to pay attention to the occasional, major, hot security issues and deal with them in a swift fashion.

Another good practice is to control when your updates occur - time them when it's ok to break things and your team has the bandwidth to fix things.

This is why I laughed hard when Microsoft moved to aggressively push Windows updates and the inevitable borking it did to people's computers at the worst possible times ("What's that you said? You've got a multi-million dollar deliverable pitch tomorrow and your computer won't start due to a broken graphics driver update?). At least now there's a "delay" option similar to what you described, but it still riles me that update descriptions are opaque (so you can't selectively manage risk) and you don't really have the degree of control you ought to.