Any wires can get induced AC on them and that can cause EMI. Pure DC can create magnetic fields, but there are no signals that will leave the wire. The length for an antenna (the length of wire needed to radiate a signal, or pick one up) ranges from 1/4 to a full wavelength depending on the design of the antenna. The length = c/f. C is the speed of light and f is the frequency. Pure DC has an f of 0.
I don't know if superchargers use pure DC though. DC just means the current flows one direction. In 60Hz AC, the current and voltage are positive half the time and negative the other half of the time. If you run the AC through a regulator, you can flip the negative part positive and instead of a pure sine wave, you have two positive half sine waves after one another.
The Wikipedia article on DC has an image of pure DC (as from a battery), half wave (just chop off the bottom half) and full wave (flip the bottom half on top):
Direct current - Wikipedia
Rectified sine waves still have a frequency and could still radiate off a wire. I don't have a working oscilloscope so I haven't looked at the signals on a li-ion charger (I have some 18650s I use in flashlights), but if I remember correctly a lot of ni-cad chargers use a rectified DC signal. Those cells charge better with a pulsed charge. It's been 30+ years since I studied power supplies and rechargeable batteries and back then there were only two chemistries available: lead acid and ni-cad.
So it is possible there is some kind of alternating signal on supercharger lines.
I won't have time to get to a supercharger in the next week or two, but I suggest next time you supercharge, tune the AM radio first, then start supercharging and listen to the radio after it starts. If the radio fritzes out, there is EMF at the antenna at minumum, but also probably around the cabin. If you want to see where it's strongest, take a portable AM radio with you and hold it various places around the cabin. If there is a lot of EMF, I would expect it to be strongest in the backseat area (on the S, 3rd row on the X), that's where the charging equipment is.