£14 is supposedly based on induction 0.504 kw/h per use 424 uses per year
so use sounds like a single plate for 20mins or so. (someone on their own boil in the bag ? )
with any kind of complex cuisine(&several meals) multiply by at least 3 ? so maybe nearer £40 benefit for gas ? plus the premium for buying the induction ?
[need someone with a smart meter to give a breakout]
I do not think gas hob is hard to clean, with ceramic vs gas time spent on carbonized stuff on ceramic plate and frequently stuff burned at base of pan is non negligible, never had that with gas.
But maybe iinduction is better, with even heat distribution, no catching.
when you turn off the gas have an air gap around pan base => cooling fast, which you do not have with inductions / ceramic.