Tesla pushed the HEAD (3CAE3FBA856679)-3cae3fb firmware to my TUWC. Unfortunately, it only partially fixes the problems with charging a VW e-Golf. My car will accept an immediate charge, though it takes a long time (over 2 minutes) for the charging to start after the initial plugging in. This behavior is quite different from my experience with all other EVSEs, which start charging my e-Golf immediately. As others have experienced, if I plug the connector in, disconnect, and immediately re-plug, the charging starts within seconds, with no delay.
However, the TUWC refuses to be able to charge my car for a timed charging event, whether initiated by the vehicle or via the time settings through the Tesla app. As it currently stands, the TUWC is worse than a "dumb" EVSE, since a dumb EVSE will work with my car's e-Manager to provide a timed charging event. This is really an issue that Tesla needs to fix!