When we moved into our house in the spring of 1990, the rear radiator in the through lounge would get hot even with the heating off. We did have a gravity hot water system though and it stopped when I converted it to a fully pumped system.
My system is same now, a c plan, there are two pumps and two motorised valves but both for central heating, the DHW is thermo syphon and no thermostat it is simply timed, and the towel rails are on the DHW system, there are always exceptions.
With my oil fired central heating Hive would be far better than the Nest I have running now, but when altering central heating one has to consider cost, and the most cost effective way to improve my system would be a USB cradle for Nest and move the thermostat into the living room.
The central heating when I moved in needed you to turn it on at the programmer

then walk down stairs and plug in the pump, the thermostat had the base

but there was no sender so did nothing, how previous owners used it I really don't know, going outside and down a set of steps to the flat under main house not really a good option in the snow. I would assume they used wood and burnt it in the open fire. That is now boarded off and used as the exhaust for the AC saves opening a window.
The problem is we relate to what we know, so in my case until this house all gas boilers, all well and good saying you have a by-pass valve etc, but for all we know it could be a back boiler on a wood burner.