Earlier quoted context omitted.
The difference is that she was getting paid tens of millions each year to do that job. (Sorry if I'm making a wrong assumption about your salary!) The original post makes Mayer sound like one of the most people-centric CEOs in the business. The contrast to someone like Léo Apotheker at HP is stark (just to pick a random tech CEO who seemed like the exact opposite).
Oh yeah, I get that if I were a CEO paid hundreds of millions I wouldn't have much time to feed the fish in my backyard. I just find the glorifying of answering emails at 1am on a a Sunday a little crazy, that's all.
It's rare to see that carried over into a tech giant. I imagine Larry Ellison does something rather different at that point of his weekend than responding to individual worker bees' concerns.