Just wanted to add a few cents into this thread.
I spoke to a few friends of mine who are in the car industry for many years and I was doing flash tuning for all my previous ICE cars with them. After explaining this issue they told me this is probably related to firmware especially to power output that engines are producing and they told me most likely tesla will need to correct torque delivery which probably will resolve the issue. Shortly to say seems like this is not a mechanical issue.
Another thing. I was playing with the car for a few weeks and noticed a few things.
1. Most noticeable vibrations are occurring when the battery is not "prepared" and regen is not fully available. Ex: After overnight parking without battery preparation.
View attachment 747183
2. I can't see/feel any vibrations if the battery is "hot" and there are no dots on the graph that indicates regen power.
Those conditions are confirmed by myself after 2 weeks of testings.