I can't fully agree with that because it doesn't make sense that rich people would be poor. This does not apply to all rich people because there are famous rich people in the world who are constantly changing their status by taking new initiatives. If you imagine Warren Buffett and he is so thrifty even at this age that he does not spend money unnecessarily then he is unlikely to ever be a poor man in his later years. But there are many rich people who are extravagance and gambling types who can turn from rich to poor just because of reckless spending, despite being billionaires or millionaires. In other words, it will not take much time to become poor even if the people who are reckless and unaccountable do not spend according to their income.
It seems like this is just incomplete, such as for example rich people will continue to increase their words or can become poor, and poor people will continue to be poor, but they have the opportunity to become rich. Well, maybe we can accept that more, because there are 2 opportunities that can happen, the first is the good side and the second is the bad side. I also have the same opinion as you, that many rich people are also getting richer, they can easily get additional wealth because their capital is very supportive. However, those who become poor because they cannot manage it very well so that it makes them have to fall from the wealth they have.