Irrelevant. Misinformation is information that is known to be false by the spreader. They can not make the argument that they honestly thought it to be true.
So if the spreader believes it's true? How do you know if they know or pretending?
I think it's useful enough for practical purposes that we can clearly classify something as misinformation where the spreader knew what they were doing.
That's wrong. Misinformation is often spread unwittingly.
My belief means that it is a falsehood rather than a lie.