I'd poke a finger in the air and say at least 60-70% efficient. Although, one would need to account for the energy requirements to supply that fuel to the homes rather than to a single power plant.
The spa Boiler I am going to use in gas form at least is very High efficency, 85% from memory. Won't change much with Oil.
It was a while ago since I did it and would have to check the vid but from memory I think I was able to burn 20-30Kw worth of oil using a 12V Bilge blower pulling 4A. For this I'll call it 12W Max.
I'll use an electric fuel pump also 12v Which from memory is 3A intermittent as it's a pulse type pump. 36w
Controllers etc wouldn't even be 1A so 12W.
Fan for house, 18w, Circ pump, probably 30W solar pump.
Call it 120w as over kill. For this electrical input I'll be getting 5Kw+ out of the burner with the oil. Not a bad result.
If I run it 10hrs a day, 1.2 Kwh or what 2 solar panels will easily produce and then some through winters days.
Oil is roughly 10Kw/h L , I reckon 3 Kwh average output, 4L day should allow for inefficiency and desired output.
Geez, had to recheck that, seems so low. Probably because I am more used to playing with burners cranking out 200-600KW worth of heat. Call it 5L day for the hell of it, 35 Wk, 12 weeks say, 420L.
And here I am thinking I'd need a couple of IBC's.

This is going to be more economical than I ever thought!
Thats the thing with liquid fuels, there is so much energy in them compared to electricity.
Last year my main 9KW array made 15000Kwh. That's 1.5 IBC's worth of oil. I could pick that up in a day, weekend at the outset.
To put it in another perspective, a LARGE car battery holds about 1Kwh of power. Imagine the space 1500 of the things would take up! Oil, 1.5 Cu m. batteries, 157.5 Cu m.
Oil would weigh about 1.275 ton. Car batteries, about 375 Tons !!
Going to get a HE so I can run the domestic hot water feed through that with the output from the oil heater on the other side to preheat the domestic hot water. that should in itself take quite a few KW off the hot water demand. I calculated on a full tank there would be about 4 Kw of energy needed just to bring the incoming water from the winter temps to the same temp it enters in summer.
If I can bump the hot water input to even 40oC, will save a lot of power right there.
Other alternative is I have a lot of roof left and a lot of smaller panels so if i can find a suitable electric HWS, I might just hook it to a stand alone array and pre heat the water that way. Won't need to get up to full temp , any increase will lessen the load off the main heater.