I was reading somewhere that Google Calendar can take up to 24 hours to refresh its calendar subscriptions. You may want to reach out to Google if it’s taking your calendar subscriptions an entire week to update. But either way, that is a huge disappointment and is completely unusable!
If you’re on Mac, I would highly recommend my favorite calendar program BusyCal, which refreshes subscribed calendars every 5 minutes. So it would refresh your Airtable calendar every 5 minutes, but you can also force a refresh whenever you want by just hitting command-R to refresh.
BusyCal also connects to Google Calendar, Outlook 365, iCloud, Yahoo, Fruxx, Yahoo, and a whole bunch of other calendar services. These are all refreshed instantly — in real time.
So all of your different calendars can feed into BusyCal: your Airtable calendar, your Google Calendar, your iCloud calendars, everything. Refreshes will happen quickly — and you can also force refreshes as well.
BusyCal also has tons of other advanced features that you won’t find in any other calendar program for the Mac. It’s honestly the best.
If you’re on Windows, I’m sure that there are calendar app clients like BusyCal that you can use as well. I’m guessing that even Outlook could subscribe to calendars, but I’ve never used Outlook before.