This part is true. It is a possible capability.The Tesla Wall Connectors will do up to 48A,
This part is not true.and need larger diameter wiring (4AWG) and a 60A breaker instead of 50A.
The wall connectors are variable configuration devices. They are designed to be installed on various levels of circuits. If you are installing it on a 30A circuit, it does not "need" or require using thicker gauge wire than a 14-50 outlet on a 50A circuit.
A Lamborghini has the capability of going at a higher speed than a Corolla. That does not mean it must always be driven that way.