I would say we are in complete agreement on this. C. S. Lewis once commented that detractors of Christianity will often prop up a Child’s version of Christianity against an adult version of any other belief and find Christianity wanting. So many non-Christians do that regarding the Bible’s clear teaching about Satan.
I found many of the Gary Larsen comics about Satan being the “boss” in “hell” hilarious, but never considered it to be close to the truth. It was like his jokes about star trek - they were jokes about a fictional character.
There is nothing funny about the real Satan though. And, as you pointed out, the lake of fire is not designed as a place where he will “rule” any more than Saddam ruled the prison in which he was held.
Good points.