Tesla's Mobile connector supports different pigtails for the input circuit. That way it can support anything from a regular outlet (NEMA 5-15) up to something more common for an electric range (14-50).
The mobile connector detects which one based upon resistance.
As others have mentioned, this is often too simple for EVSE to Vehicle connections, as that might require the power level to be dynamic. Load sharing, limitations in supply capacity, or heat may all be potential reasons to limit available power.