I think LLMs understand without reasoning. They've built a large associative network of concepts (a kind of understanding), but we don't yet have a good handle on the process of reasoning using that network.
The child knows how to catch the ball, without understanding. Later, the child learns both reason and physics, and can reason about ball catching in a different way.
I don't think that it is useful to say that LLMs understand anything they say, or that we say to them.