The chemistry at play is a little more complicated than the guy in the video thinks.
The deposits that form inside the cooling passages of an outboard motor are not primarily salt. It's mostly calcium carbonate, limescale, and other minerals present in the seawater. The water drains/evaporates when you shut your engine off, but the residue builds over time. And it builds up most in places that don't drain easily.
Water doesn't really "pump" through an outboard motor in the sense of water being under high pressure... your impeller just pushes water up into the cooling jacket under very low pressure, and fills it up. The overflow comes out the pee hole. When the engine reaches operating temperature the thermostats open and allow some of the hot water inside the jacket to escape and flow out, so that more cool water can come in. When you run the engine on a hot water hose, you really are not accomplishing anything that the engine can't do on its own (assuming you let it run long enough to reach operating temperature). I could see it being useful if you were just using the flush port and not running the motor, but otherwise the internal temps inside the engine cooling jacket are a lot hotter than tap water.
If you can immediately run your motor with fresh water, that is absolutely the best practice. But it doesn't totally solve the problem of deposits building up over time. Seawater is a base, the mineral deposits are base, so if you want to break them down you need something on the opposite end of the ph scale. The premise behind products like Saltaway or the various knock-offs, and vinegar baths, is to take a mild acid and run it through the cooling passages of the motor. This can to some extent dissolve deposits (the guys who run their motors in a barrel of vinegar solution and are amazed at the minerals that collect at the bottom of the barrel are experiencing this).
IMO, Saltaway and similar products (and even plain old vinegar) are very useful for washing the salt/mineral crust off the boat hull and windows at the end of the day. They don't hurt to run through the motors via muffs, but the concentration is so low (most of it spills out on the ground once the cooling jacket of the motor is full), and the time they are present in the motor is so low, they are not going to remove or reverse mineral build up. If you have an old motor with cooling issues, running it in a barrel of vinegar solution is probably the best bet.