The valve is called a residual pressure valve and its purpose is to maintain a low pressure in the brake lines when the brakes are off to ensure the seals in brake wheel cylinders on drum braked cars are slightly expanded. This is supposed to reduce the possibility of air entry into the wheel cylinders. It is still necessary if you have discs at the front, drums at the rear and a single circuit brake system. Its not necessary for the disc caliper seals as they don't rely on residual pressure to prevent air entering but they are still needed for the rear drums. If you have a split system with front discs and rear drums you only need the valve in the rear brake circuit.
Don't believe everything that you read in Haynes manuals as the few I've seen have contained many errors and not only for Minis but for other makes as well.
Others may have different opinions but BMC/Lockheed wouldn't have fitted them if they weren't necessary.
Regards
RonR