That implies that people who aren't empathetic and/or caring aren't human, which I guess could be argued too, but feels too simplistic.

> Which the LLMs will never be

I'd argue LLMs will never be anything, they're giving you the text you're asking for, nothing more and nothing less. You don't tell them "to be" empathic and caring? Well, they're not gonna appear like that then, but if you do tell them, they'll do their best to emulate that.