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.
One may also ask, how do you write a holiday notice? Holiday Notice Letter Writing Tips Specify the duration of leave and name of the colleague who will handle your work responsibilities in your absence. Furnish contact details for any urgent requirement and mention your date of joining back work. I will be out of the office starting (Starting Date) through (End Date) returning(Date of Return). If you need immediate assistance during my absence, please contact (Contacts Name) at (Contacts Email Address). Otherwise I will respond to your emails as soon as possible upon my return. Include the date of your return. Let people know of any other individuals they can contact for help in your absence. If people typically contact you for a certain type of information or approval, let readers know how they can find the information or get the approval in your absence. How do you write a professional out of office message?

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!
The one that gave a personal cellphone number (they didn’t have a company phone or were required to use it for work) while out on vacation, with a comment like “I’m out on vacation from date x to date y and in my absence please contact Jane Smith but if you don’t get any joy please call my personal number if it’s urgent”.