You don't seem to understand what is meant by 'overloading' a circuit (or part of a circuit) - which is the situation which arises if the load on a circuit is greater than the rating of the OPD of the circuit (or part of a circuit), regardless of whether or not the cable is also overloaded by a current in excess of its CCC.
I'm surprised that you, of all people, should say this, because the situation which arises when a 2kW-3kW load is plugged into a socket on a 6A lighting circuit is an overloading of the circuit, even though the cable will not be overloaded (its CCC exceeded) by such a load.
They don't seem to claim that it does. I presume they are saying that, particularly with regard to the fact that it relates primarily to IT equipment etc., limiting the number of sockets to 6 will limit the total leakage current of all connected equipment
Clearly the person who wrote that does not know what it is meant by "overloading a circuit", or is seriously lacking in brain cells