I work in a role where someone else has to cover when I’m out, so most things do get taken care of. I have never been in a position where I could delete all emails without ruffling some serious feathers, so while I appreciate the motivation, it’s a completely foreign option to me.
Of course, if you’re expecting something (or someone) urgent to pop into your inbox, send them a separate note with your personal email or phone number. Alternatively, you can also just make sure whoever your go-to contact is has that information in case you do need to be reached. Once you handle that, you can do what your out-of-office says you’re doing and actually spend the day recharging.

Alternatively, some people will check their email while on vacation. Then, the text should indicate how often people may expect their email to be seen and acted upon.
Notice of Office Closure for Holiday for Whole Day/ Early Closing. It is always advisable that the notice of any holiday, when the office will remain closed, should be given well in advance - so that no employee is put to inconvenience of coming to the office on a day when it is closed.