Re: "Approving extra screen time doesn’t work in iOS 27"
Sorry no-one has replied to your post to this Apple (user-to-user) Community until now. Am no expert in this area myself, yet your post to us deserves some response.
We now have iOS 27.2.1 available, so your issue may or may not remain.
Seems Apple made quite a few changes to improve parental controls with iOS 27:
ie: A new guide for parents is available online (link below):
For iOS 27, iPadOS 27, macOS 27, and watchOS 27
Apple Devices for Kids and Families - Apple Support
You can explore what's available in the new guide by clicking on "Table of Contents"
on the Welcome page that opens from the link above:
One of the articles suggests we update our family's devices to the latest version:
You may want to:
Update your family devices to iOS 27, iPadOS 27, macOS 27, watchOS 27, and visionOS 27 - Apple Support
Eg: says:
"After your family updates their devices
After you update all of your family’s devices, get step-by-step help setting up parental controls or explore parental controls on your kid’s device."
Eg: says:
"You can quickly make changes to your child’s Screen Time settings, like pausing their device when you need their attention, or allowing unlimited use for a special occasion like a plane ride or road trip."