I don't know the logic behind what goes up in the "Hot network questions" list, but I do know that it is often the same week-old questions, already with several answers and one accepted, and OP has long left the building. Even protected questions will show up.
As it works now, it mostly serves to inflate the score of trivial questions, which I think is unfair. This has been discussed earlier.
My question and/or rant is then: Is there anything on our side that can be done to to stop questions being promoted? Ideally, for me it would mostly only make sense to have questions with no accepted answer in the list, and maybe have an age-limit of two days or so. It probably attracts a lot of people to our site, so I would not want to remove all questions.
Do you agree that it is a problem, or am I in the minority?