For the first time setup and services establishment, all the mentioned factors are necessary.
After configuration pushed to the AP if any of the mentioned parameters are not available then which services will be available and not available are listed in below table.

                                                                                                                                                                                                                                                                                                               

ServicesPower Ray cloud / Controller DownInternet DownRadius connectivity DownNothing is down
Psk based SSIDWill not workWill workWill workNot ApplicableWill work
Enterprise authentication (802.1x)Will not workWill workWill workWill not workWill work
Captive portalWill not workWill not workWill not workNot ApplicableWill work
PSK with Enterprise PoliciesWill not workWill not workWill not workNot ApplicableWill work