Has a Part 15 assessment been done yet? Have we analyzed power emission levels to assert that this thing is indeed 'breaking the law'?
Has this device been checked by the FCC for spurious emissions during normal operation? Did it pass, or is it chinese jank uncertifiable garbage?
Edit: C'mon downvoters. If you make a claim that it's "Illegal", you need to have some sort of proof that its the case. And I'm not immediately seeing it. Further research? Sure.
But the rest of what you say is correct.
Because the wire ends at an open circuit, the currents on the wire radiate, turning the wire into an antenna.
The other end is likely a MOSFET with an input impedance on the order of 10 GΩ...
Shielding (e.g. coax, or a properly grounded enclosure) is what prevents ordinary wires from becoming antennas.