Not entirely. When they had a recent network outage, site down and such I lost my phone app. It could not talk to the car as it apparently goes to Tesla first. However I was able to unlock, start, and drive just fine. Autopilot, both the traffic aware cruise control and auto steer, worked without issue.

now I did not need to use a super charger but one would hope they don't need network access to work and would just keep a local database of cars that are allowed. would be damn silly to require a call to the mothership for each charging session.

Do you have a source or citation for that?