Anything worded like Option 1 would never fly at my workplace, exactly because of this. I have colleagues who complain to upper management if their non-urgent tech support questions (that a whole troubleshooting website already answers) don’t get an answer from me or my boss within half a day. And oh, did I mention our job is not actually tech support?
Having easy access to your work even when you away from the office doesn’t mean you don’t take time to disconnect and relax for a while. You deserve to take a break, muting all the mailboxes and switching off your work phone for a couple of days or weeks. However, there is a lot you should put in place before going away from your office, in the true sense.

I worked in a call center for Big-Evil-Bank for five years, and every new manager would have a different OOO policy/pet peeve that they would require phone-miners to follow. In particular, the memory of the six month period where we were forced to put an OOO up if we left our desk for so much as ONE HOUR smacked me in the face when I saw question. That was by far the worst/strangest/most tedious OOO policy I have ever been forced to follow.
THANK YOU!!!!!! As a small business owner, I have struggled with any out of office time, weekends, and after hours. Clients seem to text more often than email these days, and there hasn’t been a way to inform them with “out of office reply”. This article helps me tremendously! Also, there should be more built into our phones for texting like email: read, mark as unread, and prioritize contacts of different rows or colors indicating favorites, contacts, and non-contacts (pesky customers who bombard you afterhours).