I've only had beta for a bit over a month but this ongoing propensity for hugging the center line causes quite a bit of stress for both driver and passengers. I was wondering if others have the same issues? On occasion, the tires will vibrate as they go over the bumps on the yellow centerline stripe.
This would seem like a rather simple fix, so I was wondering if there's a design reason for this?
This is not normal. It should lane center, just like AP does on the freeway. It will hug left or right in large, unmarked roads like residential streets. But if there are clear lane markers, it will stay centered. If it's not staying centered and is crossing lane lines, especially yellow lane markers, then something is out of spec on your car.
Try recalibrating your cameras. Make sure the car is clean. Then do this during the day, bright or overcast, doesn't matter, just not weather (rain, snow). Find a multi-lane freeway (preferably 3 lanes each way) that is well marked. Pull over just before the freeway entrance and put the car in Park. Go into Settings - Service - Camera Calibration and delete the current calibration. Once it's deleted, exit the settings and place the car in Drive.
Drive on the freeway, in the middle lane until the system recalibrates - it may take several miles to do so.
Once calibration is complete, there is a 2nd calibration for FSD that takes a few more miles. Once that is finished, pull off the freeway and park. Go into Settings - Autopilot, and set everything back up again. Recalibrating the cameras will shut off some settings.
Once your settings are set - reboot the car using the two thumb wheels. Once it's back up, give it a go and see if it holds the center of the lanes.