Hey, I am currently out of office. If something urgent comes up, you can email [name and email]. Kind regards.
It's a tip that Kate Leaver, Australian author of the newly published book The Friendship Cure: A Manifesto for Reconnecting in the Modern World, has long championed. “I usually just describe the most delicious thing I'll be eating while I'm away. I've been told it makes people very jealous, in a happy-for-me sort of way,” she says. A typical auto-response from her reads: “OOO: Busy eating my body weight in gelato. Gleefully, wifi isn’t great on windswept Italian beaches so I will likely not see your email for days.”

Yeah, announcing you were going to delete emails unread and expecting the sender to resend when you return would NEVER fly in my office. I’d get executive complaints about that, especially if it went to a client or outside party – if a client can’t reach you, they will reach out to someone else who may not work at your organization and you lose business. I feel like this delete-it-all philosophy would only work for an entirely internal role where timelines are more relaxed, and even then, I feel it’s a bit unprofessional to foist your own catch-up work onto others, especially if they’ve been backfilling for you while you were OOO.
There are some places where the culture absolutely embraces this type of…expression so it may be that it works just fine.