Oh, one more point: I recall hearing that there's often a ~30-second delay between plugging in the J1772 car and charging beginning when using one of these adapters. The reason, as I understand it, is that the Tesla Wall Connector tries to initiate a session using Tesla's charging protocols, which of course a J1772 car doesn't understand. When that attempt fails, the Wall Connector drops back to the J1772 protocols and charging starts. Ordinarily this isn't a big deal, but if something isn't properly seated and you don't wait around for charging to start, you might be frustrated by the lack of a charge when you return to the car.
Note that the above is basically hearsay, based on what I've read. I've never used one of these adapters, so it could be I'm repeating bad information. If so, I hope that somebody with first-hand knowledge will offer a correction.