First, your sites are hardly "independent" - they all push an agenda. They also admit a gross ignorance of electricity and magnetism. From hese-project: "Electricity is a wonder and a convenience. But we still understand it only very partially. How it behaves, where it flows, how it mixes, ‘what’ it is, are still quite elusive, despite the complex mathematics from James Clark Maxwell onwards that ‘explains’ it."
While I am certain that they don't understand it, it's not true that nobody understands it.
Second, as Paracelsus said, Alle Ding sind Gift, und nichts ohn Gift; allein die Dosis macht, daß ein Ding kein Gift ist, that is, "the dose makes the poison". Too much vitamin A and you die. That doesn't mean that it's dangerous in low doses - in fact, too little and you die. So tossing lots of studies where exposure is many orders of magnitude greater is irrelevant. It makes good scaremongering, but lousy science.
There is neither evidence for nor a plausible mechanism for danger from low levels of RF.
Now, onto the "packets" and "pulses". Ethernet does have "packets", but that doesn't mean that the WiFi transmitter is sending them like Morse code by rapidly turning on and off. WiFi uses something called phase shift modulation: you have a continuous signal transmitted, and the 1's and 0's are encoded by shifting the phase. So if it were true that "it is this 'pulse' that many scientists think is responsible for the mechanism for adverse health effects that are being reported in the scientific literature" (which I doubt), you would have just proven that WiFi is safe, since it doesn't work this way.