I wrote a bunch of crap below, but the point is this: do you think an average non scientific reader would come to the conclusion that the device extracts energy from salt water? If the answer is yes, then the site is misleading, because it does not. The rest is just quibbling over the definition of the word "power". Most people on this thread seem to disagree with you on that, and unfortunately words mean what the majority thinks they mean. (I'm not being sarcastic when I say 'unfortunately', it's annoying when words become corrupted through misuse, although I don't think that that's not what is happening here.)

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There are no false claims in this web site.

You asked for misleading, which is what I provided.

They explain that salt + water added to the lamp will
create power, which it will, because that's the only
thing the machine lacks in order to produce power.

By that analogy, a properly fueled car is "powered by" its ignition key, since that is the only thing the machine lacks in order to produce power. I disagree.

If you have a car, and I said "this car is powered by
gasoline", would this be a misleading, false claim
about the product? Would I be a liar?

According to you and the parent commenter, Yes, because
the car requires a battery and spark plugs to ignite
the gasoline along with oxygen.

You have a point about the oxygen, but not about the other components. The car is powered by the gasoline and the oxygen, since those two chemicals react to release energy. It is not powered by the spark plugs, etc. They are necessary for the car to work, but they are not a source of energy, so they do not power the car.

You could arguably say "the car is powered by its engine" with a slightly different meaning of the word power. To use that sense of the word power with respect to the lamp, I would say "the lamp is powered by its battery" - there isn't really a term that separates the source of energy in the battery from the device that converts it to the form we want.

Technically speaking, gasoline, oxygen, vacuum, a
battery, spark plugs, a fuel pump, fuel injectors, an
ECU, sensors, pistons, valves, and a whole lot more
shit are needed to "power" the car. Without all those
things there is no "power" created. What generates the
power directly is spark igniting a precise mixture of
gas and oxygen, which then applies force to mechanical
parts. But a lot more things are involved in making
that happen, and maintenance is required on most of it.
All of which the average car user has no effing clue
about.

If we're talking to average users, I would say the two correct statements are "the car is powered by gasoline (and oxygen)" or "the car is powered by the engine".

You do not need to know any of that in order to 'power'
a car. And I am not a liar for telling you a car is
'powered' by gasoline. I simply didn't explain the
design of the internal combustion engine to you.

No, but saying the salt water powers the lamp is more like saying the car is powered by the motor oil, or the spark plugs, or the carburetor. The salt water is neither a source of energy (gasoline), nor a (complete) mechanism that turns one form of energy into another (an engine).

The car comes with a battery, spark plugs and oxygen,
just like this lamp comes with an anode, and it needs
regular maintenance, just like the various parts of a
car. Just like gasoline for a car, water and salt are
the fuel for this lamp. The fuel is the only part you
need to understand to use it.

No. Fuel is a store of energy. Salt water is not a store of energy (unless you're extracting the deuterium from it and putting it in a hydrogen bomb). Gasoline is a fuel. Motor oil and spark plugs are not. Similarly, a metal anode is a fuel. Salt water is not, nor copper wires (when used for conducting electricity), nor the liquid container it all goes in.

They explain several times that the anode has to be
replaced every six months [based on average use]. They
have omitted nothing. There is no deception. Just
simple language explaining only what you need to know
to use it.

They make the anode sound like just a random thing you happen to have to replace for maintenance (like spark plugs) while the salt water provides the energy. This is exactly the opposite of what happens. The anode is where the energy comes from. The salt water is the incidental maintenance. This is what people are complaining about.

The product's users are not chemists or engineers.
They're tribal villagers in the Philippines, for
christ's sake. Anyone who speaks english and is
intelligent enough to pay for the project will read the
whole thing, just like all of us did, and realize how
it works, just like all of us did, and be satisfied.

The target audience of this website are journalists and investors, not tribal villagers. Journalists and investors don't just need to know how to use the product. They need to know what is novel about it or what value it provides over other existing solutions. The website makes it sound like the novelty is extracting energy from salt water. This claim is preposterous, which is why all the commenters are complaining.