Modern society makes people more greedy and has more material needs. They will want other things bigger than they are now. If one day the rich accept only one house and a car and simply eat and drink, then only that will have the opportunity for the poor.
The message in this one is twisted, especially to the last phrase you stated. There are other different opportunities for poor in different scenarios, some are given scholarships, some are given grants, some are being adopted, etc. You can't dismiss this opportunity no matter how low the probability of getting one.
Every class of society has its own opportunity and I believe that the poor also have a chance to rise, but why are the poor still so numerous? All matter is finite on our earth and time does not favor the poor because they have a very low starting point. They cannot afford housing opportunities if the rich are constantly amassing finite assets such as real estate. Many people work their lives just enough to buy them a home.
The whole modern market social model is built on banal human greed and is quite competitive and viable. Personally, I am not happy with some of the costs of such a model of modern capitalism, such as the excessive wealth of individual members of society, but all sorts of social experiments, such as socialist regimes and all sorts of restrictions on wealth, led to even worse results. Therefore, I am against such proposals as one house and one car, and I am in favor of creating conditions for the state to improve the well-being of the rest of the population. That is, not a restriction, but rather a stimulation of the other layers.
The purely socialist regime annihilated the other roles of the private economy and was led only by the state economy. That holds back economic growth. Currently, socialist countries such as Vietnam, China, and LAOS are constantly expanding their development scale and receiving investment from abroad. They are already rich and have fewer poor people. Countries like Korea and Cuba are embargoed by the US and they have not developed to their full potential.
I don't blame each regime because the way they run is not the same. Just after the pandemic, see how Americans went out on the streets of Europe faced starvation and unemployment.
Proof that the capitalist economy is bad is that the Texas electric utility has raised the price of electricity hundreds of times to make a profit.