This is the basic theory. Everything is drawn to scale perfectly. Perfectly.
Basically reverse allows you to stay in line with them and get them in your view faster. This only works if the ship is moving by you though.
You don't turn faster, you just get them in your sights faster.

I try to explain this, to a typical degree of success, to prospective pilots. Veering a quarter-turn at one-quarter to one-half speed, then full-reverse with manual speed-decay for an abrupt broadside. A lot of folks utilize this to align with an enemy who's trying to flank, too. I was pretty horrible with setting up my broadside arcs until I learned this concept^