It’s called a linked braking system. When you depress the rear pedal, 2? pistons in the rear caliper are activated and push on the pads, and 1 or 2 pistons (not positive of this but something like this) in the left front caliper is activated which also activates the smc. When you press only the front brake, the smc is activated which then activates the 3rd piston on the rear caliper. I know, terribly complicated and completely unnecessary IN MY OPINION. A huge source of problems that should have never been put on this bike. Again in my opinion, the weakest and most problematic of all the components and systems on this bike. But when working properly, it is incredibly effective and powerful, and works very well as it was designed.
I cannot let that go unchallenged ! I did try, and I sat on my hands for a few minutes with steam coming out of my ears.
I realise that you added caveats and said: "something like this" and "in my opinion" which makes it very clear. But I thought -- Someone will read that and believe it - or worse - some AI search engine will pick it up and treat it as fact. "Having a halucination", I think they call it.
Anyway, since you don't know I thought I'd tell you. Sorry, I cannot help it.
Actually the VFR has a similar system which is plumbed differently from the ST1300 - but oddly, in a similar way to the way that you - sort of - describe.
So for the ST1300:
When you press the rear pedal
5 pistons are operated when the bike is in the garage.
1. The rear centre piston is activated by a direct line from the rear pedal master cyclinder.
2&3. The front left and front right centre pistons are activated (the front right once a certain pressure has been reached).
So the rear pedal operates the 3 centre pistons directly. Nothing else affects the centre pistons.
4 & 5 The fluid pressure moves through the SMC from behind the primary seal and activates the 2 rear outer pistons.
The Front Brake lever operates the 4 outer pistons on the 2 front calipers, directly.
When the bike is moving and the rear pedal is pressed, the same happens - but this time because the bike is moving, the front left brake grabs the rotating brake disk and moves the left caliper bracket forward. It pivots on a needle roller bearing in the front fork leg. Only by 1-2mm, but it moves. This operates the secondary master cylinder which applies pressure to the 2 rear outer pistons.
So again, the rear pedal operates the three centre pistons directly and also causes the SMC to operate the 2 rear outer pistons. (Whether the movement of the SMC or the pressure from the rear pedal causes the rear outer pistons to be applied - I don't know. It will be determined by which one is applying the most pressure.) The SMC does apply a phenomenal amount of force if you brake very hard. It is like power assisted braking - but it is regulated. There is a safety mechanism that won't let it apply too much. (The proportional control valve). Assuming that the Compensation ports are all clear.
When the bike is moving the front brake lever operates its own 4 front outer pistons, and because the braking front left caliper activates the SMC, it also moves the 2 rear outer pistons.
I do agree with your last statement - when it is working properly it is incredibly effective and powerful, and works very well as it was designed.
I for one am glad that this bike has this system. The biggest problem may be to do with the people who service them. Some people know nothing about how they work and the important stuff is not known about.
If it is not serviced properly then it is possible for pressure to build up in the rear line and the rear brake will lock solid. This doesn't happen just out of the blue. There is a long build up to it.
And then - 'suddenly' it happens.
It's like traffic lights: "It was green officer. I kept checking as I approached. It was green, it was green, it was green, ..... etc ......, it was green. And then suddenly it went red, and I couldn't stop in time." Did he expect it to stay green? Did he not think that the longer it was on green, the greater the liklihood that it would turn red ?