The average user cannot stop the ps3, xbox360, PS4 and Xbox One from constantly polling for controllers. There is no easy way to shut that off.
Wifi can be turned off easily. How about the bluetooth responding to controller input? Pseudoscience, you say.
https://ehtrust.org/science/peer-reviewed-research-studies-on-wi-fi/
Anything that people love and is common and doesn't make them drop dead immediately is justified in unimaginable ways as 'safe'.
The idea is to reduce usage, even if we can't eliminate exposure entirely. Especially for long hours next to one's gonads...which are affected, incidentally. You can stick your head in the sand if you want. Plenty do. It's easier to live that way.
Cigarettes were argued for
decades despite the evidence. Just let that sink in. Big money talks.
Feel free to not care as you enjoy holding a low-powered microwave oven (using the same frequency bands) for long hours in your hands next to your reproductive organs..or ear/head.