Surely, if you took an existing jet engine and put some electric heaters in it would be very inefficient, but if you played to the strengths of electric heat, you could potentially make something interesting. For example, there are no potentially corrosive combustion products and in fact you don't even need to have oxygen flowing through it - it might as well be CO2 (hello martian electric jets).
The second benefit is that you can deliver electric heat into a closed system continuously without cooling it from fluid flow. It's more beneficial for furnaces and things, but maybe there's a design out there that can take advantage of it. Probably more relevant for some sort of closed cycle piston aircraft. You could reach higher internal temperatures as long as the materials can support it.