The reason is simple, they know how popular Bitcoin has become and how the whole world is adopting and admiring Bitcoin, and we know that when something becomes famous, people tend to become appreciative or praise the creator of that thing, and that is the exact reason why these people are trying their best to prove that they are Satoshi Nakamoto or at least claim to be. From the list you've provided, I've only known about Craig Wright.

I don't really understand what makes them think that the public will actually believe in them and accept that yes, one of them is actually Satoshi Nakamoto. Besides, how the hell do they know that Satoshi was actually an individual and it wasn't a group of people who created the technology?