It is unlikely that systems will shut down during holidays. Email servers run as usual. Payroll systems, etc. keep on keeping on. But when decisions are made they are most likely made by humans, many of whom will be away from their desks and workstations.
Your earlier question seems to indicate a situation in which human actions are needed.
To know which systems are used, and you might not be told, contact the IT (Information Technology) organization at the university and ask. But, the answer would probably come from a human, who is probably enjoying a break at the moment.
Your frustration is understandable, but the people downstream from you who want information about your degree will also understand the limitations of the system and are unlikely (IMO) to punish you for things you can't control. Their own systems will have similar limitations.
Note, as I've done in a comment elsewhere, that many, probably most, university systems have people available to answer phones and handle departmental emails for most of the holiday season, other than the holidays themselves. It will likely be reduced staff. And emails will still go through, though recipients may not be reading it, nor answering it. Academic holidays are for academics, not necessarily for academic staff. Things important to the running of the university still get done, but that doesn't imply dealing immediately with academic issues. You might be able to reach the department office (a staff person, perhaps) by phone during holiday seasons and ask what help might be available to resolve the issue.
My best guess is that you will be fine in spite of the frustrations. If the system were driven by completely automated AI systems I'd think you would be less pleased in general with the results as those systems make many (many) errors. Artificial Intelligence is certainly artificial, but not so much intelligent in spite of the name (hype).