I participated in such tests and know some of the people. It kind of pains me to say this as for some years I trained Ninjutsu and we trained very hard but this test is nonsense and simply doesnt work. Especially like that.
Before the 90s they made the test and either you rolled out of it or you had at best a concussion. Then when Hatsumi (the soke who holds the sword) lowered all standards to a pathetic point ($) more and more they made a gimmick out of it like what you see here. He flooded NInjutsu with fatty blackbelt westerners who cosplayed Ninjas with no physical demands anymore.
Back then I believed in the test in that if I would only be experienced enough I would simply know when he would hit. Nowadays with much more experience. No sorry it was a gimmick. I do know from mountaneering that when in live or die situations our senses are heightened to a point were we "feel" much more and maybe than its possible like in battle, but you cant simulate it and you cant put someone with a live sword there who kills all people who dont pass
(that may have been the ancient version as was told). If the person holding the sword has intent and will to kill yes I agree an experienced person may react acordingly. But well its always a risk.
I know that one of my teachers who was one of the first foreign students of Hatsumi did the test with a sharp steel sword. That had to be early/mind 80s.
When we trained Katana / Sword fighting all drills were done with wodden swords but if you were at a certain point we started training with real swords. Takes a lot of discipline and technical skill. Still injured myself quite bloody one time
Most teachers back then had no competence at all regarding fighting but there were some very tough badasses. Near all were ex military to my knowledge. Some out of Germany (few) and Ireland/England/Scottland/Netherlands. United States near 100% cosplay dummies.
Later on many practitioners who wanted to train serious and disagreed with handing out McDojo belts split from hombu dojo in Japan but these were few and I dont know if anyone of them still does train.
Nowadays every Ninjutsu group I know of in my area are esoteric loosers who would die if a squirrel attacks them.
At its height when I trained it Ninjutsu incorporated boxing (very crude ineffective version), Judo, Kicks, weapons and clinch fight with joint locks and fantastic technical variability. The rolling and falling training was a lot more skilled than even in Judo and Aikido and physical training was at competitive to pro sports level. Really was a great martial art!