Screen Time: how to disable Downtime limitations in Safari?
Solution 1:
Simple answer: it’s not possible. I don’t understand how anyone at Apple could release this feature with Safari missing from the list of apps
Solution 2:
Best option: Download Firefox (or another browser) and enable that during downtime. You may additionally set a Daily time limit for Firefox to stop you from going overboard using it.
ScreenTime is very confusing. I found https://www.tekrevue.com/tip/ios-12-screen-time-limits-specific-apps/ to be helpful in using it.
If you turn on Downtime, you can't use anything on your phone except apps you add to Always Allowed and apps you add to App Limits.
But Safari is special. It wants to respect Downtime on every webpage you try to visit, and it seems whitelisting does not work properly for these. This is why adding a different browser app bypasses the problem. You do lose the per-page restrictions when you do this, and I guess the partial answer to to that is to limit Firefox to a certain amount of minutes overall, and return to Safari after downtime is over for website-restricted browsing.