Xxxr but network is suggested every time I install some app from Aurora or Google store
You shouldn't revoke network access for sandboxed google play and Aurora, it's better to select apps on a case-by-case basis and decide whether you want to revoke network access for that app or not. Apps Communication Scopes is coming as written above
Xxxr if I am not allowed the apps the network connection, will the apps still work fine?
It depends, if the application absolutely needs an Internet connection to function as is the case with applications that require a user account, the answer is no, some applications produce telemetry in the background and don't actually require an Internet connection to offer basic functionality, the application expects to receive data and GOS will tell it that the network is down.