But its not copying it. That is the entire point. Its using the training data to adjust floating point numbers. If you train on a single data piece over and over again, then yes it can replicate it, just like you can memorize lines of a school play, but its still not copied/compressed in the traditional, deterministic sense.
You can't argue "we don't know how they work, or our own brains work with any certainty" and then over-trivialize what they do on the next argument.
People suffer brain damage and come out the other side with radically different personalities. What happened to "qualia", or "sense of self", where is their "soul". Its just a mechanistic emergent property of their biological neural network.
Who is to say our brains aren't just very high parameterized biological floating point machines? That is the true Occam's Razor here, as uncomfortable as that might make people.