There’s a grim, apologetic vibe to these messages — I’m sorry I’m taking time for myself but I’ll try to check in on occasion! They’re a vivid reflection of a work culture that valorizes constant productivity and the near-total overlap of work and life. But they’re also do a terrible job of what they’re intended to do, e.g., set realistic expectations for both sender and recipient. A vague OOO message traps both parties in an uncomfortable liminal space where both productivity and rest go to die. The original sender is left unsure if they’ll be getting a timely response or a whether the email will go ignored for a time or forever. The original recipient has taken what is a rock solid excuse (time off) and cheapened it, offering a backdoor for email guilt to creep in.
Oh my gosh, this is funny! It does sound kinda like, “some things are more important than work, JAN.”

Proof that some people just Don’t Get It: in response to my out of office voicemail message directing callers to contact my co-worker for anything urgent, a woman left the following message on MY voicemail: “Co-worker, I am having this issue, blah, blah, blah. Please call me at X.” Yeah, I–not co-worker–got the message a week later when I returned.
I do enjoy the transcribing of voicemails, so a lot of times I read that (and try to translate the weird interpretation from Siri). I rarely need to actually listen to the voicemail.