The inductor is a coil of wire that carries "net" current flowing in the coil. Here, the Out and In power currents in the cord essentially cancel each other out, so there is no "net" current flowing. So no magnetic field, and no inductance. Same thing for a coiled 100' extension cord. No inductance problem.
But, all the cord might be "required" to be off the hook when charging, for their "strain-relief" to work.
If this is true, how can they recommend "using" the cord "overhead" to keep it off the floor (to avoid tripping over it)?
Coiling during non-use really SHOULD not be a problem. If they say it is, ask for a written description of their unit's "limitation".
See SOC/GID-Meter and CAN-Do Info
2011 LEAF, 2014 Tesla S85
2018 & 2019 Tesla Model 3
Solar PV: 33 x 225W -> 7 kW max AC
Craigslist: Xm5000Li Electric Motorcycle