it has been proven that wireless technology has no effect on the immune system whatsoever,

False, not only are there well documented cases that show damage to the immune system from wireless devices, there are devices on the market that use wireless technology to damage and harm animals by damaging their central nervous system.
"This device produces a unique ultrasonic wave that is able to irritate and interfere with the brain and auditory nervous systems of all pests (insects/rodents)."