I had a boss who was mad if I put his full name on my OOO. I was his deputy. He said people should know how to contact him if I just use his first name. He thought the public would get his info (public-facing office but we didn’t correspond with the public at our level, of course). It made me feel very very silly to comply.
See, if it’s a long period of leave and there’s an alternate contact provided, this is just… the sensible thing that should happen?

I used to work with someone who had a message telling people she only checked her email twice a day. You pretty much needed to call her if you needed anything outside of those times. (She worked in a remote office.) I think she had read one of those books on efficiency that recommended scheduled email time. But there were problems with this: 4. My department often had to email attachments or text to illustrate our questions/concerns. And we were on deadlines. Reading a page of text over the phone was not an efficient use of anyone’s time 5. She did outreach & was often out of the office on site visits, trainings, or travel to these places, but never ever set her OOO for these, because she was “working.” However, she was effectively not available to read emails from other staff until after hours on those days.
That said, I think it is the kind of thing that is funny with the right people and in the right situation. But an out of office message is an autosend situation, so the email system cannot actually assess if it is appropriate or if the person receiving it will find it amusing, or unprofessional, or apparently even condescending. So while it is a hilarious message for a joke, it would not be a good idea in a professional setting!