No, I do not make any such claim. The video might be perfectly authentic, or it might be taken out of context.
No, my claim is that one minute and twenty seconds of video placed on you-tube by a propagandist isn't enough to make any kind of meaningful judgment.
For example, what is this wood they were stealing? Was it worthless scrap and broken trash meant to become firewood? Or was it valuable lumber being used in a construction project? I don't know the answer and the video provides no clues, but knowing that would certainly alter the context.
If the "wood" were just trash and scrap then it's hard to call what these men were doing "looting" and losing a car over it seems unbelievably harsh. On the other hand if they were stealing materials from a construction site then their actions could be depriving a family of their shelter and a lot of workmen their livelihoods. In that context the action seems a lot less harsh, particularly in the larger context of stopping looting in a war zone, which in other places means shooting people.