I appreciate that idea, I did so myself during my last vacation (I stay on slack and email as I report to c suite). But it is my job to defend the quality of life of my direct reports, and we can spend some more cycles as an org if needed versus bothering people OOO/PTO/Vaca. If we are so reliant on that person that we need that ability, we’ve failed (processes, documentation, cross training, etc).
We’re not saving lives, we’re just moving bits.
Edit @ghaff: Love the CEO anecdote in your reply, I’d work for that person! Priorities set properly.