I used to work at a place where we would occasionally send reports of network misuse that sometimes included inappropriate images the user had stored on work devices. One person had an email system that was somehow set up to make any attached images the profile pic for that account. So she would end up with random pornographic images as the profile pic whenever she received reports from us. She said she had no idea how to change it and could we please help? Since she was not part of our company, and I have no idea how that could even happen, I just started sending her kitten pictures after every report that included an image. Problem solved.
I did something similar the second time I took maternity leave, actually. I didn’t explicitly say, “I will delete all emails,” but instead I shared my backups’ contact info and invited people to contact me again when I was back from leave.

No one thinks much about cybersecurity while traveling. However, email security company Tessian warns the out of office message actually plays right into the hands of threat actors and cybercriminals. It’s a social engineering attack vector that no one thinks about. The out of office message is ubiquitous and handy. But if it includes any personal information at all — such as attending a funeral or going out of the country — attackers have all the information they need to impersonate the person who is out of the office, without the attacker having to do any real work.
Once the person reaching out to you realizes you’re gone, they may panic if they have a legitimate need for immediate support. The best way to avoid this is to let your callers (and emailers) know how to find the appropriate help.