what that "skin in the game" means is that you are participating and take on some of the risk.
"why it is a requirement" has nothing to do with the law, the whims of "the founders", etc.
why it is a requirement is an economic truth - if there are enough players that believe that a gamble on working for an early stage startup is worth taking on some substantial, but perhaps not ruinous, risk, then that sets the bar.
> Founders want you to believe this but it doesn't have to be true.
Whether that is true, or "has to be true" depends only on the market. It certainly seems that it was true very true and probably still is. But neither you, the law, nor the founders have any control over whether it is worth it at the moment in your situation.