I think the problem is that “at your earliest convenience” is a formulaic convention that uses explicit, almost exaggerated politeness to basically issue a stern direction, meaning “as soon as you possibly can”. When you turn it into “at my earliest convenience” it’s unclear if you mean “whenever it’s convenient for me to get to it” (what the words say) or “as soon as I possibly can” (what the meaning of the formulaic original is). Or else it sounds like you didn’t quite understand how “at your earliest convenience” works.
It is stated that due to the upcoming spring season there will be off for ten days for all of you. As it is the time to spend time with your family and your lovable ones as they all want from you is your devotion, attention, and love. Many amongst you will plan to go to hilly areas whilst I will spend my time reading some of my favorite novels, The Return of the Native, Barchester Towers, and Pride and Prejudice.

My voicemail is set up to forward to my email. I did this years ago, way before the Late Unpleasantness. And it’s perfect for working remotely. (I have trained my students to use email. My colleagues hate voicemail too, so we use email and gchat. Or walk down the hall when we’re live and in person)
There ought to be a word - and perhaps there is, in German - for the mix of feelings that accompanies composing and activating a holiday out-of-office message. There's smugness, of course, and a gratifying sense of laying down one's virtual tools after a horribly long shift. But for many of us, these nice feelings are tempered by the knowledge that in two weeks, refreshed but depressed, we will have to trawl through hundreds of emails, many of which will be conference room notifications for meetings about crises that have passed.