I’m not sure I agree. Just as it’s part of the job for someone to handle their emails, it’s also part of the job for the sender to make sure that their request is sent to someone who is available.
Once they realize that your office is currently closed, the most important piece of information they probably want to know is your standard business hours. While this information can be tucked behind a phone menu option, it's best to state it upfront in your after hours recording.

A. You should not. Office access will be restricted and operations limited to help reduce utility costs and other related expenses. Unless you are pre-approved by your department leadership to be on campus because your work cannot be interrupted by winter break – for instance, because you have research that would be adversely impacted – you should not be on campus during winter break. This break was established to promote health and well-being, so please take advantage of it.
A retired small town newspaper guy once told me about the first time the publisher went on vacation and left him in charge (this would have been in the 80s). The publisher told him “Don’t call me unless the building burns down, and even then, don’t call me until the fire is out.” Good example of management setting vacation expectations.