You can use software like AppogeeHR to set up vacation emails that will automatically turn on when you go away for approved leave. You can also create templates of emails to share with your team with a tool like Right Inbox.
I misread that at first and thought you’d said that a random picture of a employee popped up, and was momentarily horrified at the thought of my face appearing on my co-workers screens!

When you left for the day?! I could maybe see that if you were dealing with different time zones (although I worked for a company with offices on both US coasts, in the UK, and in Asia and no one did this), but it still feels really excessive. I would guess the work/life balance situation would be bad at a place that required this.
This is also good. I have two group emails for standard tasks. The SOP is that if someone uses those, one of the people on that list will indicate they have it and reply all when the task is complete. That way we all have status without anyone having to remember who is OOO that day/week.