For the business operator label, perhaps downtime would do the trick:
Downtime
NOUN
[mass noun]
Time during which a machine, especially a computer, is out of action or unavailable for use.
1.1 North American Time when one is not working or active.
‘everyone needs downtime to unwind’
For a business operator, this has the advantage of stressing that it's their time off, rather than days they're closed (and thus not earning money).
Another option would be suspension:
Suspension
NOUN
- [mass noun] The action of suspending someone or something or the
condition of being suspended.
‘the suspension of military action’
‘the investigation led to the suspension of several officers’
This is more clear that business operations will be suspended for some period of time.
Lastly, put on hold or just on hold could work too:
On Hold
PHRASE
Waiting to be connected while making a telephone call.
‘‘I'll just see if he's free,’ Rachel said, and put me on hold’
1.1 Temporarily not being dealt with or pursued.
‘he has had to put his career on hold’
For a customer-facing page, when the business is not operating, I would think you could be more wordy: There are no events scheduled today as the business is taking a break. Or ...is closed today.