No the EEC has no coils it is an amp consuming device used in conjunction with the VIC, you are correct about the EEC not having coils...

I tried to talk about the VIC(not the EEC) which can have 3 coils on the secondary side or many more. In the VIC drawing with the EEC there are 3 coils on the VIC 2ndary side, in later chapters there can be up to 42 spools(3*14 spools). The minimum for the VIC is 3 coils and you can separate those three into many smaller spools to adjust the resonance frequency to optimum.

I believe anyone notices in the drawing that there is no difference between the VIC with EEC and without EEC. The only question is which type of VIC you want to use. That is all from me now...