Absolutely not! We apologize if the video is misleading.
The magnets may stick to the drum before the washing process but will detach due to movements- even if the washing machine is made of metal or stainless steel!
The truth is that just like any powerful magnets, they are likely to stick to each other. That is what you will see at the end of the wash cycle.
As long as the magnets are in or near the water throughout the wash cycles, they can change the water properties and clean your clothes.