[devy]

For a startup with only 6 people and you are one of the managers/leaders of managing others, there could be exceptions the team needs your decision while you are out on vacation.

This depends on the work culture at your company and in the country you are in as the labor law and norms varies. My own experience has been that it's entirely possible (imaging your 2 direct reports are roadblocked waiting for you to make a decision) and your role is so crucial that your boss depends on your to make an informed decision, your attendance on email responses could be important. Obviously, if it's a short vacation and everything is planned out and prepared for, your response on emails would probably not needed.

Again, I don't think there is a common scene here you can find on HN.