This looks to be a steering system issue, but entire front end needs to be inspected.
@cruisermaine I just review your video. This is similar to
@pili issue. Although his at first was a very violent jerk to right, than release feel as if steering wheel disconnects (no control) from rack, than repeat rapidly. Now
@pili 's is more like what you have, but not as pronounced. We now know his actuator had not be engaged (at all or most of the time) for past 2 years.
You may just need a proper calibration. "Current thinking" is, disconnecting the VGRS actuator should stop the "wobble", if only a calibration issue.
Check to see if your VGRS is engaging. Note, VGRS ECU will shut down actuator without VGRS light on, under certain condition as a fail safe. One of which is high temperature of actuator.
First when cold, than as the event happens after warm up drive stop and check again. Do this test a few times.
Start engine and let ideal, while in park, turn your steering wheel all the way toward one side until it stops (lock), than turn all the way to other direction (lock).
Lock to lock, VGRS engaged - 2.4 turns.
Lock to lock, VGRS not engaged - 3 plus turns.
Some ??
Any modification to your 06LX, form factory configuration?
Is the factory rack & pinion still in or is it a replacement (which rack & pinion do you have)?
Has steering snap ring recall been done?
Is slow speed steering, a bit hard, cumbersome or very easy, compared to other 03-up LX?
What fluid is in PS reservoir, how old and what is the level currently?
Is the steering rack, its lines, pump leak or any been replaced?