However, the longer the period we take, the more likely it is that the winners are only people who were lucky. So I wonder what motivates people who want to get rich on sports betting if they believe in such a pattern? Do the players sincerely believe in their own exceptionalism and genius?
People who want to get rich will definitely not choose to gamble. There are no consistent wins in gambling. The odds of becoming rich from betting must certainly have a higher percentage of wins with fewer losses. Those who eventually win in the long run can certainly be said to be very lucky. However, it is not possible to achieve long-term wins solely based on luck. They have strategies to lose less. This does not mean that they never lose.
Yes, it's truly impossible to achieve long-term success in gambling, especially since winning in gambling largely depends on luck, which doesn't happen consistently, but only occasionally or fleetingly. And even then, no one knows when it will happen.
Some forms of gambling do require skill to increase winnings, but you're right. This doesn't mean they never lose. Playing games that require skill only increases the chances of winning, but it's not a guarantee.