Only measurement will tell for sure but it isn't uncommon for a even a co-located device to create a loop with power supply and wired LAN connections. Shielding probably won't matter or help. If the entire arrangement is within a small volume then self-capacitance can be low and paths in one line and out another, through the Kiwi 'grounds' , may not be enough to cause a problem but even then  edges whether LAN or SMPS may cause QRM.   Try it and see. If you always have a symmetric antenna then it may be possible to short out only the desired/differential part and verify that any remaining CM is well below the measurement level.