Last time I checked, several years ago, I decided that, the fitting of basic TRV's, a room thermostat, and some sort of timer, plus different boiler output temperature options for CH v HW, fully satisfied the requirement.
To put it in your terms - you have a software program listing printout, which is hidden under a sheet of paper. You/we know the input, you know the output, but you have absolutely no idea, what is happening in between. That's where the forum members are with your heating system are, and to some...
Even better...
Connect the relay coil, across the wires which at present, power the pump.
Find, and connect an unswitched live, to one relay contact, then the output, to the pump + a neutral.
It will be both, it's just that at the moment, your CH will be switching on and off, more frequently, than your HW demand. Each time, the pump will be started, which ever i creating a demand. Really, the relay needs to be connected to the output of the valve(s), so that either demand for heat...
Nonsense!
Your new radiators will not be blocked, if they are cold, then for some reason - they are suffering a lack of flow. Lack of flow as in-pump not being effective, valve closed, or stuck closed, pipework blocked, or other radiators 'stealing' most of the water flow.
Would there be any value, in moving that fall pipe around the corner, on the left, so it discharges around that corner, but digging out a bed of concrete, to form a channel to get it around the corner, to where it presently discharges?
Could you clarify, where it is presently discharging? It...