One thing that really bothers me in out of office messages is “contact my supervisor” without listing the supervisor’s name. I work in a company with 4 large service departments, and each department is broken into multiple smaller teams. I don’t have a great grasp on who is on or who leads which smaller team, and we don’t have an org chart with that much detail readily available. If you’re saying to contact someone, I think you should always include the person’s name and contact information, not just “my supervisor”, “one of my team members”, etc. !
The big issue I have with the example in the post is that not only is it unnecessarily long-winded, but you have to listen through all the chattiness to get to the “here’s who to contact in a real emergency” part. The tone does rub me wrong, but I’m willing to roll with that as a personality/company culture thing.

“Depending on your company culture or your potential audience, you can craft a professional message or take a funny, creative approach,” according to Indeed.com.
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.