That would work. However ideally, the thermostat should be supplied from the same 3A fused connection unit as the boiler so that all of the heating system components are isolated by the same switch.
If the thermostat was powered from a separate source, it would still be live when the boiler's fused spur was turned off. Whilst you are aware of that, anyone else working on the heating system in the future might receive an unexpected shock.
Looking your existing thermostat again, because of its age (circa 1980) I would imagine that it was previously used with a traditional boiler and may have only been wired to control the central heating pump or a motorised valve. Then when the new combi was installed the cable would need to be extended out to it.
If the thermostat was powered from a separate source, it would still be live when the boiler's fused spur was turned off. Whilst you are aware of that, anyone else working on the heating system in the future might receive an unexpected shock.
Looking your existing thermostat again, because of its age (circa 1980) I would imagine that it was previously used with a traditional boiler and may have only been wired to control the central heating pump or a motorised valve. Then when the new combi was installed the cable would need to be extended out to it.