One of the biggest complaints people have about sandbox games is that when playing actual missions it’s all essentially variations on “drive to this point on your GPS and kill this guy”. Running into a room full of armed goons and meleeing everyone to death is endlessly entertaining. Sprint towards an enemy and attack, and you’ll perform running DDTs and other moves that leave the enemy knocked down. In fact one of the more fun things about SR3 is how between taking human shields and hitting enemies in the crotch, you can actually do a lot of damage with melee attacks in this game. While it’s technically just the sprint button, it speeds up actions like stealing a car or attacking an enemy, making the little things faster and more exciting.
The self described “Awesome button” is just that, a button that makes all of your moves more ridiculous.