There was discussion of this in another threat. What it boiled down (as far as I can remember) was this:
Yes, if the ship only has/uses turrets and all at the same target.
Anything else gets complicated.
Let´s say, your ship has 4 fixed laser cannones along with two laser turrets.
Now, if all weapons engage one target, the manouvering the ship does to bring the fixed lasers to bear should add to the tracking speed of the turrets.
If the turrets engage one target, while the fixed lasers engage another target, the manouverability should probably be substracted from the turrets tracking speed (assuming, the fixed lasers allways get the mavouverability bonus, but what if you split the fixed lasers beteen two targets?).
If the fixed lasers don´t engage a target, but both turrets engage different targets, you would need a way to tell aurora, which turret will benefit from the manouverability of the ship, and which one will receive the malus for having to counter the movement of the ship.
All in all, I realy don´t think this would add enough to make the added micromanagement worthwile.