All this chat on brake issues caused me to try to update my limited knowledge on brake systems.... Jeez the extra degree of complexity and no doubt cost to make it safer for the brain dead to pilot vehicles on the road is somewhat astounding... For sure the days of DIY are all but done and dusted for owners of modern vehicles, except for those with a real determination and ability to get in amongst their machinery...
I have no idea of the master cylinder type fitted to the Mogs with issues, but it seems some units have an electric motor driving a hydraulic pump which pressurises a ECU controlled multi valve unit dependant on read back from wheel speed sensors.... Seems the KISS principal has long since been binned..!
https://youtu.be/RfAzB_IcWukp8mog, on the assumption that you have your foot on the brake pedal, it is interesting the distance that your pedal drops on engine startup, though not unusual on old style servo assisted systems which multiplied pressure applied to the brake pedal by utilising vacuum derived from the inlet manifold. I guess if there is an electric pump and ABS system it may not be unusual that something similar occurs on your Morgan..?
Also interesting that you suspect one side of a wheel disc receives more pressure from the brake pad than the other and perhaps indicated by a degree of less wear on the disc via your test... My expectation might be that the pad wear generally shows up any such situation..with the pad on one side of the calliper being more worn than the other..? As discussed earlier with a brake design where the pistons are mounted on one side of the caliper only and a rail system of some sort employed to ensure even pressure applied to the pads on both sides, any restriction of movement on the rail system will cause uneven pad wear... and thus affect braking performance.
I am again guessing that when you criticise the handbrake performance and find comfort in that your Mog has an auto box, you are typing of the ability to park safely by using the P selection which can lock up an auto box...? Whereas when driving I ever found comfort in the ability to slow down by dropping down through the gears in a manual gearbox and careful use of the handbrake lever to avoid locking up the rear wheels... All of which has been removed in the case of auto boxes and electrically operated handbrakes..?
Hard pads are generally designed to work when brakes are up to temperature as on a race track or fast road driving, where brakes are regularly and perhaps heavily applied causing the discs and pads to retain heat... The down side is that they do not work too well when cold and require more pedal pressure to create a reasonable retardation effect... The correct choice of pad should be based upon your average usage... Sorry not trying to teach my granny to suck eggs.. just that I do like the KISS principal...
These days with so many hobby vehicles laid up for long periods it would seem there may be more potential for corrosion issues affecting brake systems and electrics.
Given the amount of seals likely to exist in an ABS master cylinder unit, I can only begin to imagine the possible problems caused if ever the wrong type of brake fluid was introduced to the system...?
I repeat, I am NO expert, just thinking in type and could be entirely wrong about anything.