One aspect is the 32A RFC is a "standard" circuit, in the wiring regs and intended for the 13A sockets and/or FCU.
This is the key. In theory, an unevenly loaded 32A RFC can overload its cables, especially if it is long, the load is all at one end, and the cables are installed by a method that reduced their CCC. But, it has been tested in the laboratory, and by 74 years* of use in millions of installations that cable damage does not occur in practice with 32A OCPD.
That testing has not been done with 40A OCPD, so you would have to engage a qualified testing lab to prove that under all realistic operating conditions, the cable won't age prematurely etc. That could be a complicated and expensive R&D project! You could rely on the following assumption but again you would have to prove that it is correct:
If installing the cable so that Iz=20 A is OK with In=32A, then if the cable is installed with Iz=27A it should be OK with In=40A. (Subject also to meeting adiabatic for earth fault conditions with T+E CPC being only 1.5mm², or even 1.0mm² if early 1970s cable.)
Then you have to test all the accessories. Are the socket terminals OK with a 40A circuit? Your call, your R&D to prove the point, because the manufacturer won't sanction it. They will be designing to comply with BS1363 and not a smidgeon more.
And if you prove it's all OK, you still get a non-standard circuit that is a departure, as it neither obeys Iz>In nor is a defined standard circuit, and the next electrician who finds it will soon make mincemeat of your idea in front of the customer.
*The first 24 years of RFC's were installed with 7/.029 which is 3.0mm². But they were usually protected by coarse OCPD e.g. BS3036 with a fusing factor of nearer 2.0 rather than today's 1.45, which uses up some of that extra wiggle room in the larger conductor under overload conditions.