In an ideal world I think you roll out a new build and surprise! NOTHING changes. This is because all of your new features are behind switches that go out with the switch off.
Post-deployment you verify that your rolled-out service still works, the phones aren't ringing any more (unless ringing phones is your purpose, that is), etc. Once you are back to a known stable operation you begin enabling and verifying your newly deployed features.
Now for your answer: How would you like to work on a team where being on call is practically a no-brainer and our users love us because our sites and services are rock solid stable?
That's the team I want to work on.
You can stop reading here if you want.
Putting everything behind a feature switch seems like it can lead to spaghetti code everywhere. If you use IoC and are able to select between vNow/vNext/vPrevious then it comes down to maintaining your configuration. Yes more check ins, yes more classes (componentV1, componentV2, componentV3, etc.) but you actually have a more stable system? How? vNext is wonky? Switch back to vNow with your control tower. Been a week and vNow has a subtle bug? Same thing - go back to vPrevious just as easily.
No hassle, no worries, no lost sleep, no stress.
This isn't a pipe dream. I used to work there. Wish I could sell this to my current team.