I would hope after this long it has been cured? However there are three thermostats in the basic heating system.
Sometimes only 2 as with thermosyphon sometimes there is nothing on the tank.
So there is a thermostat in the boiler which should stop it boiling.
There are two types of three port valves some have centre position some don't. With the type with centre position the room thermostat does not go directly to the boiler but it goes to the valve. Once the valve moves then the valve sends a signal to the boiler to run.
The micro switches inside the valve can get stuck and I would guess that is what is going on here. So I will guess a new electric head on the valve is required.
I think it unlikely that the radiators are causing this problem although of course muck could have travelled from radiators to the valve and jammed it.
I do not see working on the old system is really a DIY job but
this is one of the diagrams it shows just one switch inside the valve but really there are two or three in them.