I’d side-eye if an OOO for a couple of days off said that, unless someone was in an unusually time-sensitive role. But if someone’s out for long enough that there’s an alternate contact provided, that’s long enough for them not to be wading through missed emails when they get back.
This. I’m surprised more people dont havent mentioned this, but this has always been my back to work routine – and sometimes if vacations overlapped, I’d find a summary email of “While you were away, X,Y,Z happened, I covered A, but you might want to check on B and C” which was always very helpful.

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The Calls/SMS Auto Reply app for Android comes loaded with auto-responses for out-of-office messages. You can select any of the simple messages to send as a reply to incoming calls and text messages when you are not in the office or away for a holiday. You can edit these existing messages or add your own custom message to set up auto-response during your absence.