Yes, the stabilizer can have an effect on steering. Also if you've done the suspension spring mod, the springs have to both match up with each other to even out the steering, plus not be too long or you'll end up doing donuts. I had to adjust the springs on one side several times until it was right. The flat side of the spring should face up or it'll stick.
I should note that my car goes straight and turns evenly only with the steering trim tab all the way to the left (when looking straight at the bottom of the car). There are several factors that could be affecting your turning: magnet centering, trim tab, front suspension, tires (one side worn or dirty). Make sure all tires are completely on the wheel ridge (look from all sides), and also check all axles for debris and tiny hairs. Use a needle to get the really tiny stuff away from the axle. Keep messing trying things one at a time and see what helps. If it is still not turning evenly, you may have bent your tiny steering spring or reinstalled it incorrectly. Some problems can be corrected by *gently* bending the steering spring one way or the other.
See the
springs, turns, and turns topic for more on that.
Someone suggested that some steering differences might be unavoidable, due to the fact that the motor gear is on one side and not the other. Don't go for perfection, just try to get close enough
