I’ll be sure to reply to your message when I wade through my inbox upon my return. If your message is time sensitive, please send an email to [contact name] at [contact email].
Whatever you decide before heading out for that much-needed time off, it’s imperative that you set up an out of office reply. Your customers and co-workers don’t get that same pause button as you do. That’s why you should inform everyone that needs to know about your time off.

Your business is important to us and I will respond to you immediately when I return to work.
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.