I don't have time to watch those videos.
It's not completely true. Before the advent of RCDs and RCBOs, circuit breakers and fuses certainly did some provide protection against electric shock. When the line conductor makes contact with a a piece of equipment's earthed case, the over current protection device has to quickly interrupt the current in order to keep the voltage on the exposed metalwork form reaching a hazardous voltage. If there's no RCD and inadequate over current protection, then it's possible for exposed, earthed contactors to reach a hazardous voltage, under fault conditions.
Nowadays, RCDs and RCBOs provide protection against shock from earth leakage, so the role of over-current protection is mostly to prevent fire, but it's still good to have another layer of shock protection.