I think it's something to do with your controls.
the "silver box set to manual" is the motorised valve that should be opened by the timer and the thermostat on your cylinder.
As you've recently moved in their might be some setting that is "off"
I can't see what it is.
Might be the Hive.
I can't see what temperature the knob on the boiler is set to.
If you can speak to the previous residents, they may know how to set it.
If you don't get any good ideas on here, call a recommended heating engineer to puzzle it out. It's possible (though I think less likely) that there is an actual fault.
A large unvented cylinder like your runs the boiler more economically if it is fully heated morning and evening, rather than left on all day; but in winter, when the boiler is running all day for the radiators, it won't matter.
Setting the valve to "manual on" can cause the water in the cylinder to become scalding hot, so take care. If you can adjust the boiler temperature to 60C or thereabouts, the cylinder will not get hotter than that.