In another thread I posted that I could think of many scenarios where it might be an advantage to use a bat or club over a knife if given the choice. The assumption that a firearm is best then a knife then club then spray and finally hand to hand is the correct order of deadliness is not always true in my opinion.
I believe that for myself at least if I were to meet a bad guy in a back alley who was armed with a knife I would rather have a club, bat or heavy cane to defend against it. Given room to use it I believe that in this instance the heavy club would be the deadlier of the two weapons.
Another scenario. You and I are at bad breath distance in a confined space. In that case I believe the knife would be the deadlier of the two. For that matter I believe that a sheathed knife could be brought to bear quicker and with greater effectiveness than a holstered firearm could be under that condition.
Then again I could be dead wrong. But I would be comfortable with my choice. A firearm is not the deadliest weapon all the time. It could be a hindrance.