The caster adjustment is what causes the steering wheel to return to a straight line when you release the wheel - Something else to check if you decide to get a wheel alignment to check the toe adjustment
In a toe out condition, each front tire is slightly pointed away from straight ahead and the car follows whichever front tire has the better traction at the moment and that usually switches sides from one to the other as you try to steer a straight line. You hold the wheel firmly straight ahead and the car jumps a bit from left to right at random times
Our second car was in a minor fender bender when a pick-up pulled out in front of my wife a couple years ago - The front bumper cover was bent in against the passenger side wheel. The car was repaired good as new, but they didn't check the front end alignment. With the tiny front tires, I never noticed that the car was toed out, but as soon as I put the bigger tires and wheels on it, it was pretty obvious something wasn't right . . . . it was certainly 'darty' to drive and before long I could tell from the tire wear that it was toed out. A quick adjustment made quite a difference in the way it drives, plus it added a few more miles to the cars range - Anything less than a perfect wheel alignment will have a negative effect on how far you can go on a charge
Since you appear to have more than one alignment issue, I think it would be a good idea to have a good alignment shop check out your wheel alignment
Don