Yes it's ridiculous.
"I thought that this sort of allergy hadn't been proven? How can they consider legal action of this sort when they can't even prove that they have a disability, much less prove that wi-fi causes them harm?"
In fact it's essentially been DISproven. In at least several tests, they'd set out a visible wireless access point, and they'd IMMEDIATELY start bitching and moaning about how they've got such a headache and such, and look real embarrased when the tester pointed out "That's not plugged in yet." Meanwhile they'd blast the test subject with (non-visible) access points, and all sorts of other RF and ask how they feel... "oh just fine."
Note this is essentially a California-specific thing, limited to a few isolated areas, where there's these large concentrations of nutters worried about "cell phone radiation" and the like. The case has no legal standing and will be turned down but here in the states (especially California) people can and will sue over everything and anything; it's up to the court to throw out the case, not people's good sense not to file it.
"So should we get rid of TV transmitters, mobile phone towers, satellites, bluetooth, mains electricity, alternators, electric motors and all the other stuff that gives off RF?"
According to them, yes. Oh, they'd still like to *have* electricity, watch TV, and use the cell phone all the time. But transmitters to transmit signals, or power lines to carry that electricity? Oh unacceptable. The nuttier towns in California, people say with a straight face that they can't have "cell phone towers" in the towns due to "radiation"*, while SIMULTANEOUSLY complaining about the poor cell phone service. They NEVER figure out they're getting way more RF from holding a phone (transmitting at maximum power, 250mw or up) *up to the side of their head* than they would from a cell site down the road.
*They now come up with other excuses, because the FCC has flat-out stated that nutter claims about "radiation" cannot be used to deny a cell site. So they know try to claim that a cell site designed to look like a lamp post will be too ugly compared to the 50 other lamp posts in the area.