It covers both scenarios, BFE on or off:
If this doesn't help, check for other security solutions that might be installed on the device and uninstall them....
...If pausing protection doesn't help, a clean boot (starting Windows with minimal drivers and services) often lets Scarlet work without fully uninstalling Bitdefender.
...If the update errors persist on other networks as well, uninstall and reinstall Bitdefender as suggested by Gjoksi above.
If Bitdefender still fails to perform updates, contact Bitdefender support.
I sent a ticket to Bitdefender tech support,( 24/08/) received a reply to uninstall spywareblaster, malwarebytes or make sure real-time protection is disabled....