Remind me what the question was exactly...
I'm now convinced the bathroom rad cant be connected to the hot water looking at the cylinder, I can see flow and return to the boiler, off the return, a 15mm pipe goes up to feed the F+E, from the flow pipe a 22mm vent also goes up to the F+E, hot water comes from the top of the cylinder via a 22mm pipe into the bathroom for the taps, above the cylinder is a cold water tank this has a 22mm feed that goes in the bottom of the cylinder to supply it and a 15mm pipe feeds the cold water tank, 15mm from the cold water tank feeds the cold taps and the shower, there is a 22mm vent from the hot going into the bathroom going to the cold water tank and a 22mm overflow from the cold water tank to the external wall in the bathroom, there are no other feeds in 15mm that I would expect to see if the bathroom rad was fed from the hot water circuit please tell me I'm missing something very obvious