I can see 2 ways.
The technobabble sense:
In theory, limiting controls to roll and pitch could allow you to forgo dedicated maneuvering thrusters entirely without adding anything but software, thus reducing mass and increasing both linear and angular acceleration (in some directions):
Assume you have a spaceship with 2 main thrusters. Further assume that each of these 2 thrusters have a "shield" that can be folded in to redirect their exhaust forward, allowing them to "decelerate" almost as fast as they "accelerate". This could be very useful in a dogfight and may in fact have been done IRL with jet engines.
If each shield came in an upper and lower half, not only would it deploy slightly faster, but a simple software tweak could deploy only 1 half of the shield on each engine providing (potentially very powerful) pitch and roll controls.
The gameplay sense:
One this I noticed in the ICP was that trying to dodge the pew pew weapons of a fighter was almost entirely pointless; it's radial tracking was great enough that you had to be within a few hundred meters, going at maximum velocity, to even give the pilot a hard time following pointing his ship at you. Needless to say, going at that high a relative velocity rather limited how long you'd spend in such a small volume of space.
Basically, 90% of dogfights, for me, was pointing my mouse at the dot that meant "enemy fighter" and maybe use translational thrusters to make myself slightly harder to hit. Worked quite well, too.
Having no yaw control means that, assuming the guy you're shooting at know what way you're rotated (and that youtube vid shows a rather nifty looking holographic HUD that might well be displaying just that knowledge) he can use that knowledge to turn in a direction you can't easily follow, while you of course can keep an eye on him preparing to do so and respond preemptively, all of which could certainly make dogfighting a hell of a lot more interesting than the usual "airplanes on a black background"-model. Personally I'd still prefer the ICP/Newtonian model as that (with practice) will allow me to occasionally blow my enemies out of the sky while going backwards or sideways, but it's a step in the right direction.