"Because the two questions I asked in my OP were, "Do you know what logic is?" and "Have you ever studied logic?" Instead of considering these they instead asked "How do we know you're not suffering from the DK effect?""
I'm sorry but, again, you're assuming that they haven't considered your questions. In effect you're commiting the Cum Hoc Fallacy. You're assuming that their answer relates to your question. It doesn't.
It can be frustrating to construct a playground and then have people come into it that don't want to play by your rules, but that's pretty much the essence of the internet.