That is clearly correct in terms of the requirements of BS7671 in terms of current-carrying capacity.For the instructions to state "Minimum conductor cross section area 6 mm2, or higher depending on installation specifics and local regulations" is not exactly correct - "Minimum conductor cross section area 4 mm2, or higher depending on installation specifics and local regulations" would be.
However, stillp has indicated that functionality of some of these chargers can be impaired by the impedance of the feed. If that's the case (ridiculous thought that may be), it might be appropriate for the manufacturer to specify a minimum CSA of 6mm² (albeit a bit silly without any mention of length!) in order to make it more likely that the charger will work satisfactorily - even if 4mm² would often be adequate in terms of CCC.
Kind Regards, John