Cybertruck's drivetrain is definitely capable off-road, I was roaming on unmaintained winter mountain road yesterday, aired down I only had to use lockers to pull a minivan stuck there — didn't even feel the load.
Suspension travel in off-road mode is massive even at lowest "Very High" setting not to mention "Extraction mode" — it becomes hard to climb in-out the truck haha.
Now to the minivan story: idk what is it with some people, but I found this dude with 3 kids in it stuck for an hour after they PASSED me flying…
Absolutely dead tires with steel cord visible, 7 miles up the mountain, 1/4 of a tank, 8F, sun sets in less than an hour, no service, heavy snowfall, unpaved local mountain road with clear "Not Maintained in Winter" sign.
He said GPS told him it was faster and he kept going and going till he couldn't… . Toyota Sienna didn't even have any towing points, I had to use soft-shackle on a wheel.
2 minutes later he slid again into a bigger ditch and we had to wait for an old man with winch.
Glad I had kettle with me, coffee, tea, some food. Our dog played with his kids to keep them relaxed.
But it was no fun tbh, I pulled him to the side and had to do a reality check talk, it could have ended very badly.
Once we got him out 2nd time we figured it's better to drag him remaining 4 miles up, because going down on these tires you can easily end up off the cliff with no ability to properly brake or turn.
Btw, I now got 110V workshop compressor that I just plug in to the bed outlet, finally a decent 3.5 minutes from 15psi to 45psi on a 35 inch tire, but I need a high-flow pressure regulator now to avoid babysitting the inflation process w/o inflation speed.
Off-road driving often comes down to driver skill and confidence even when the vehicle is capable. Here is the successful attempt that was cropped out of the viral video that shows the Cybertruck failing to make it to the top.