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diamondgas
Effectively when the heating is on the flow does not go through the T to the cylinder, but when the heating is off it does and therefore heats up the water.
Just re-read your post and find this strange! It doesn't go through the 'T' to the hot water when the heating is on ... the way it's piped it should pi$$ through the hot water circuit ... I'd concentrate on the hot water circuit, from what you've said! The fact that it "heats up" is incidental as it will if its the only thing on! However if the flow through the circuit is restricted then it'll be bi-passed, virtually, when everything else is calling! IMO