Backfire A fire set along the inner edge of a fireline to consume the fuel in the path of a wildfire and to change the direction or force of the fire’s convection column.
Burn out Setting fire inside a control line to consume fuel between the edge of the fire and the control line.
The use of "backfire" in your wiki says Lines may also be created by backfiring... just sloppy use of the term.
In a real situation, a control line is constructed, and is either directly burned out from that line, or it can be backfired... but a backfire is not lit from the edge of the control line, it is lit a ways into the fuel side so that the set fire begins to draw air away from the control line so that it can safely be burned out, it is how one deals with unfavorable natural windflows by creating an artificial one with a backfire inside the line. But believe as you wish. The nuance is probably too much for you. Do you know what a convection column is?