The difference is activaction .. Mechanical brakes are mechanically activated through levers and rods. Hydraulic brakes are activated by licquid-fluid pushed by pistons ,forced through tubing and hoses to more pistons that activate the shoes or pads. If fluids leak activation is lost and brakes fail. There must be no air in the system or the activation hesitates or the pedal must be pumped. Bleeding air from the brakes is a pain and a process that the average person won't be able to do unless they are experienced . Pistons stick in wheel cylinders if not in regular use. Rubber parts in wheel cylinders and master cylinders are not durable like rods and levers in mechanical brakes. When rubber parts fail, fluid leaks. When one wheel cylinder fails, you might as well replace them all because they will soon follow suit . Metal tubing can rust and leak or just leak and lose fluid and brakes fail . Rubber brake hoses will sooner or later collapse inside and lock up the brakes on the wheel that they connect to.
Hydraulic activated brakes are better suited to modern cars because tubing and licquid activation is easier to route than mechanical lincages because of modern car design . Hydraulic activation has no other advantage over mechanical activation and many disadvantages on the model A as described in the previous paragraph .
The model A is a simple design built for the common man at a simplier time. Mechanical activation is more durable and can sit for many years and still work the same as the last time that they were used . With mechanical brakes there is no fluid to leak, no tubing or rubber parts to fail. This is all a big reason that model A's have survived for such a long time .