Power to weight ratio of electric engines vs turbines looks favourable to me atleast on small scale hobby engines, probably not on full size aircraft engines. For example a 9kw jetcat gas turbine weighs 2.8kg and about 1.5kg in turbojet form. A tp power electric motor can deliver 9kw continuous, 18kw peak for 1.2kg, perhaps 1.6kg including controller. So the question would be if you could make a lightweight compressor stage that is closer to a ducted fan in terms of manufacturing difficulty and cost. And secondly if you could exploit the lack of a turbine to run a more efficient fuel air ratio or achieve a better compression ratio than the single stage radial compressors found on hobby jets.