I understand your frustration.
Here's a primer for those who don't understand how switching power supplies (charger circuits) and voltage reducers (USB adapters) operate.
When the battery or super-cap is fully charged there are just a few random power pulses to keep things topped off, but
when charging heavily the pulses which controls the charging is nearly continuous. The input voltage is steady and the output rises over time (milliseconds) until it reaches a cut-off point of maximum allowed charging voltage, the current flow is stopped, then the process starts again (switches on and off). In operation this creates a steady electrical vibration-
in other words a low-grade radio frequency transmitter. These oscillations are inherent in this type of power supply/charger and are not easy to filter out (certainly not economically) so shielding or distance is the only viable 'cure'.*
When located close to a receiving antenna this 'transmitter' can be strong enough to interfere with AM radio broadcast signals of lower power that are also reaching the antenna. The receiver simply plays what the antenna hears best- the stronger signal- or it plays the mixed signal from both sources.
The 12V to 5V USB power adapter operates a bit differently by altering the allowed voltage flow by
continuously adjusting the bias on a transistor to control the output voltage- not in pulses. It's more like a water valve that is always on with the opening being the variable so there are no pulses and therefore no electrical vibrations, so if it is operating correctly there is very little oscillation occurring (a tiny amount will occur within the regulating transistor but it's so small you need a RF probe and scope to detect it). Since the regulation is steady (5V always up to full amperage) this is easily accimplished with component selection whereas with a charger circuit you must slow or stop the current flow when the batter is fully charged or it will be destroyed, which is why the simpler (and cleaner) circuit will work here but not in a charger. The normal failure mode of these is a dead output because the regulating transistor will not pass any current without the bias applied, so if a component in that circuit goes bad, the result is no output and still no offensive oscillations. That protects from over-voltage on the output and saves your 5V devices.
Therefore I doubt it will be the problem, so alterations here will not be the 'cure' either. It is theoretically possible that if this unit's cabling parallels the antenna lead far enough that some interference can be transferred but this is unlikely.
*- Some high-end switching power supplies have a switchable frequency, so that while you can't eliminate the "transmitter effect' you can move it elsewhere in frequency range where hopefully it will not give interference where you want to operate. Not cheap to do, and this will never found in consumer-grade electronics because of that. Older transformer-type power supplies/chargers had different circuity that could go over-voltage in failure, destroying equipment. It was also larger, heavier, and more costly to build which is why almost everything uses switching-type power supplies these days.
Hope I didn't bore you with all this, but remember I'm a radio nut which I hope makes this post forgivable
Phil