IMO that depends (among many other things) on how much vacation you have per year. I (living in Europe) and have more than one month of vacation each year. If I was in the US, with, say, two weeks vacation per year, I'd be much less willing to be reachable in those two weeks.
What I usually do is to leave a mobile phone number, indicating that I might not be reachable, but try to get back ASAP. If we were sharing a meal in front of the tent after a long day of hiking, I'd consider it impossible to get back right away. Likewise if I spent the day in the natural history museum with the kids.
Taking 10mins to log in per VPN from home and have a look at something to make a guess at what it would take to fix something is different.