I recently saw a thread about a cybertruck getting stuck in the snow. Having lived in places that snow a fair bit, it's completely reasonable that the truck was having issues. By the comments you would think it was only a light dusting.
I own a 1999 Silverado. It has a manual transfer case, no traction control, no stability control, no terrain modes, and no trick electronic differentials. Its ECU probably has less computing power than your wristwatch. I have never gotten it stuck in the snow, not once in over two decades, even when the stuff was deep enough to be up to the axles.
I'm also certain the factory tires on a Cybertruck are not up to spec for mud and snow. They're probably low rolling resistance jobbies in an attempt to make the range less abysmal. That does not equate to soft surface traction.
For sure, there's different kinds of capabilities. I'm not actually sure what the claimed abilities for the truck are, only that the amount of snow this person was trying to drive through was not unreasonable to have problems with, even in a high clearance truck.
I'm pretty sure you're right about the tires, which is probably the limiting factor for the truck. It's obviously not a serious truck, which is fine as long as you know what you're getting. I'd love to see a head to head comparison with the rivian truck.
Edit: I mean I could have looked first I suppose :P