It is rainwater in the chamber that they are worried about.
Water is incompressible, so a wet chamber has less room for the brass to expand. Water is a fair lubricant so the brass does not "grip" the steel.
So a wet chamber behaves a lot like the British proof procedure of firing an oiled high pressure round. And since the 7.62 is higher pressure than .303, the conversion with a wet chamber amounts to a steady diet of proof tests.
The problems arose when shooters got in the habit of "shooting wet". It rains occasionally in England and it is then tough to keep your rifle and ammo dry. Shooters noticed a shift in POI between wet and dry due to changes in pressure and harmonics of the delicate compensation of the Enfield.
So if they couldn't keep their rifles dry in the rain, they could easily keep them wet when the sun was shining. It was pretty common for a shooter to have a can of water on the firing line and to dip his ammo before he shot it.
This was worrisome with the .303, and a real issue with the hotter 7.62.
If you can't shoot your conversion in the rain at Bisley, you are going to be staying home a lot.