No:
It shows that all people who have been tested so far and claim to have electromagnetic sensitivity don't have it.
Yes:
There is no reason to assume they have a real illness
But No again:
That's no proof.
That's scientifically rather unsatisfying.
On the other hand, we have scientifically proven, that humans ARE sensitive to higher levels of EM fields. It's safe to assume that the threshold varies from person to person. It's also safe to assume, for 99% this threshold is orders of magnitudes away from the levels we receive from the nearest cellphone and wifi,
But it doesn't answer the question about the lowest possible level that someone could be sensitive to!
The psychosomatic electrosensitivity is not connected at all to the real effects. But it makes serious research about possible effects of low intensity exposition almost impossible as it will be inevitably get mixed up.