Sounds like it’s clear in your mind what you want to happen, but I’ve heard plenty of people say, “Of course you took it somewhere else, that’s what I told you to do, and now I have two action-less emails to trash rather than one.”
Because of this, typical out-of-office replies will often split the difference between our hopes and fears and say something like: “I’m out of the office and can be reached but if you need assistance right away, please contact x person.”

Way too long, but so hilarious. I don’t get condescending at all. I’m drooling while imagining I had this on my work phone when everyone thought their requests were life or death. Actually, I wanted my message to say, “I realize you think your request is vitally important, but I’d like to reassure you: I worked in a hospital years ago, and good news! It’s really not.”
Probably a lot of overlap with the same type of person who feels the need to justify every sick day to all their coworkers, like they’re afraid of being judged for being absent. (Yes thank you Jane I don’t care that you were up half the night with a plumbing issue, you don’t need to convince me that you’re tired enough to take the day off)