Hmm. You should possibly talk to your installer. I would imagine that the oil fired system has a motorised valve which is controlled by a timer, or may simply be knocked off. This valve would be connected to the pipework coming from the top coil of your cylinder.
The immersion should work regardless, but if the solar is being allowed to heat up the water to 85 degrees or so (which is often the case) then the thermostat on this may have permanetly tripped out and needs to be reset. Q