The purpose of the PDWA Valve is only to provide a means of tripping a switch to let you know that there's been a failure of one of the Brake Circuits. It does nothing else and as far as Braking Performance goes, removing it will not adversely affect the Brakes in any way,
Does that count on later bulk head mounted valves too?
No.
Those are there for to limit the maximum pressure to the rear brakes. The OP here has an Inertia Valve fitted.
<Edit: Ethel beat me to it and with a more comprehensive explanation >
Just about all Brake set up on Mini need some sort of pressure control to the rear brakes to stop them locking, though there were some that didn't have any valve, but used smaller rear wheel cylinders, typically 1/2".
Generally, the set ups that don't use a PDWA have a switch on the master cylinder. Some had them in the body of the cylinder - which is actually a built in PDWA Valve - and others had a float switch in the cap, which I've found to be very reliable.
Cut-away diagram of a GMC167 Master Cylinder ;-

The PDWA Valve is the bit that's shown in the smaller drawing.
Edited by Spider, 20 November 2021 - 12:05 AM.