Human labor-power will always have value, if you're ascribing to Marxist notions of value. What will increasingly reach no value are the commodities we produce. A fully, completely automated, self-repairing economy is not only likely fantasy, but not at all what Marx was talking about with Communism.
In AES states, poverty was dramatically reduced while technological process boomed. Using the USSR as an example, they took many "firsts" in the Space Race, such as the first man in space, first woman in space, first sattelite, and more. For poverty, it went drastically down, along with disparity, while maintaining constant and stable growth:

In the USSR, wealth disparity between the top and the bottom was around 10 times. In Tsarist Russia and the modern Russian Federation, that number reaches the hundreds to thousands. If the Soviet Officials were doing it to get individually rich, they sucked at it.

The United States is not an industrialized economy, but an Imperialist one. It uses its vast millitary power to exert pressure on the Global South in order to export Capital, it produces cheaply by super-exploiting workers in the Global South for domestic Super-Profits. Moreover, safety nets are clinging by threads, most other countries take better care of their homeless population and have much lower rates of homelessness.
The PRC is a Socialist Market Economy. They "get it" because they are applying Marxism to their present level of productive forces and rapdily building up industry. It is still heavily state owned and planned.
Restating your flawed understanding of Communism and Marx's Law of Value doesn't make it true or "authentic."