Engineers should not brag about this, in fact it's the opposite of something we should brag about. "Our site doesn't go down when we're not here devising ways to break it"
I don't see this as bragging but as an reality/consequence of introducing change. We do a lot of things to minimise occurrence and impact of change but there always is(/will be?) that (corner-)case that break things.
In other context,that is often a point against upgrading old systems that have been working and doing the job for a long time.