The carpet would have provided enough traction that the speed couldn't have been reached for MS to go over the railing with the velocity needed to get that type of head injury.
IMO
Maybe you could do a demonstration, proving that it is not possible. You said your two boys have scooters, maybe you could have them ride them on your carpet and show us the results. That would be very interesting.
As for Max being unconscious prior to hitting the ground, there is no way to know at this point. You state he was because he did not use his hands to break his fall.
People fall every day. We get a lot of them in the hospital. Some elderly, some young. Falls down stairs, or a step outside, falls deom tripping on a cement crack, where two pieces of cement don't fit together evenly, falls on wet floors. Even young adults can not always use their hands to catch themselves and did not break their falls or they wouldn't be in the hospital.
If Max did grab for the chandelier, as it did fall, so something happened, it wasn't broken yet. That is probably the reason there are no cuts on his hands. If the fall occurred like the video LE made, he face planted. He fell head/face first on to the ground. He wouldn't have had time to put his arms out to break the fall.