I like Electroboom's videos, because he usually explains in detail the dangers of what he's doing, but here he's doing something extremely dangerous while making it look safe.
Isolating the oscilloscope by defeating the ground prong is a very bad idea. If you then connect the aligator clip to the live wire, the whole oscilloscope internal metal shield, including the exposed BNC connectors at the front, will be brought to mains voltage!
Simply brushing your hand against the channel connectors at the fron panel will be enough to electrocute you.