When you can safely take a large top out as shown, and that precludes the need to get out of the bucket, there is no question that taking the large top from the bucket is the safer option. Getting in and out of the bucket and climbing a tree entail risks that simply staying in the bucket does not. In the former case, the added risk is to the safety of the climber. The only added risk to taking a big top, as seen in the video is to property. Given that unarguable fact, taking large tops from the bucket is most often going to entail far less risk of human injury and death. So if that is the main priority in this work, we should be focusing on learning how to rig from the bucket and learning what the limitations of rigging big tops are. To me that was a no brainer, as long as the tree didn't have any visible defects.
Anyone that thinks that top was too large to take safely either lacks experience or is stuck in the "smaller is safer" boyscout mentality. Anyone that thinks that top was too close to the house needs more experience and more confidence. A soft top like that can brush the roof and do no damage. I've done it many times. I'd say he had a good 4 feet before he would have to worry about damaging the roof. That is plenty of margin for safety. Close is often good, not lucky. But you have to be good to understand what is possible.
The only issue here is would the rigging and the tree hold. That wasn't that big of a top. As long as he had a good blcok and rope set up, even without run, there is close to zero chance of failure in that scenario. Its often the case in this industry that those that think these high level rigs are dangerous or risky, simply lack the skill, ability and experience to perform at such a level.
You have to be good to know the difference between lucky and good. To get good, you have to see what is possible by pushing the envelope a little to find the limits of any given technique. Comprehending the many factors that influence the forces in taking tops as seen in the video, and being able to accurately estimate the trees ability to handle those forces, depending on species and condition, may simply be beyond your understanding. That doesn't make it unsafe. It may just mean that the guy who made that cut is better than you are!