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What do the radiators look like? Eco 7 would normally mean storage heaters, which are quite bulky and distinctive looking.
I have them in my flat, 2 bed on the edge of the building with crap insulation (single skin solid brick). 3 heaters in total, I think summing to 6.5kW max output. They come on at night only when the electricity is a third of the price as it is during the day. Total elec bill comes to 30-40 quid per month year avg. Obv a house would be a bit more than that and depends how good your insulation is, but elec only doesn't have to be expensive.
Had never heard about that til just now, will ask