I picked a low number as an example to prove how easy it is to get the weapon. That's not hard to understand.

You should probably read harder. They set the premise 5 kills with a pulse per game, not me. Even if you get 30 kills a game when you remove the super kills, grenade kills, power kills, and non-pulse kills then you will have less than 30. Since we are talking about lower skill players and when they will get the broadsword we are assuming 5 kills per game.