Running better is a hard to define thingy. You can not really compare an EDF with a turbine in that way. An EDF application with restricted inlets would just perform worse, while a turbine with too little air would run in to compressor stall
http://www.youtube.com/watch?v=-BnrL...4DA02E30E8A038
Where an EDF will have too little air (scale jet airplane for example) a turbine setup with simmular thrust will do fine as the turbine uses less air for the same thrust.