Well, I'm quite certain the overwhelming point to be made is: Why would you need your knife to hold up to the test? Then questions about whether your use includes standing on the blade or using it as a crowbar.
Look, the reason why the Bark River knife broke is simple: It was a hardened cutting tool not meant to be treated in the way it was treated. It's meant to cut, not to pry or smash or beat.
The reason the ESEE 4 didn't break is also simple: It was designed to stand up to that type of abuse. ESEE runs their 1095 soft and also uses a proprietary heat treatment that allows then to offer a no questions asked warranty. The blade is basically made to dare you to break it. Most knivse are not "overbuilt" in this respect so choosing one that is, is up to the user.
So it's pretty simple, if you actually need to do any of the stuff shown in that video then just go with an ESEE 4 or a similar made knife--where abuse and hard use is what it was designed with in mind. Do not think I'm saying that the ESEE is better either because it's stronger... If YOU need a "stronger" knife that might be your ultimate opinion. On the other hand, a lot of people would say that beacuse of the thick blade geometries and the soft steel that the edge retention and cutting ability is lacking in ESEE knives.
Bark River knives, while I don't have many good things to say about the company or owner, the knive speak for themselves. They have an emphasis on materials and craftsmanship and they grind the blades very thin to be extremely good slicers and cutters. Not a lot of thought is put into "Can you pry with it?" because they are not being sold to people who want to use it to pry typically--I mean frankly if you spend the kind of money that people spend on these knives, even if you KNEW it would never fail, would you really want to treat it that badly anyway? ESEE and more "economical" blades like them are used for "beaters" more often than Bark Rivers I'd imagine.