The actual reason behind these demands, I believe, is to justify things that they do using these models. For example, didn't they argue that the fairuse policy applies to them while training on copyrighted materials without permission, because the training is not like other forms of digital reproduction? Imagine how far they can push this argument if AI sentience is recognized. It's just an extension of their greedy agenda.
Now going on a tangent, it's surprising that people have AI girlfriends and boyfriends. Trying to make an emotional connection with them is really off putting because of how unnatural they feel - even when we don't have the prior knowledge that it's an AI, and no matter how much they try to mimic a romantic human interaction. Dogs do an infinitely better job at making emotional connections with humans, without uttering a single word.
Even now, AI is hardly the panacea that is saving humanity from an impending crisis. Far from it, it's currently the vessel for copyright-washing (and gpl-washing) creative work, wrecking the job market based on the rhetoric of abilities that are well beyond the reality, the machine to do things that we were already doing (like web searches) at 10x the energy costs, and run massive data centers that produce noises well above the hazard levels and CO2 emissions equivalent to that of small nations.
I understand that AI technology is capable of novel applications and in fields that need imminent attention (like climate research). But that's not what drives it today - it's profit seeking bordering on insanity. They're getting people addicted to uses that are hardly novel and comes at a steep energy cost. Why else are these companies so worried about AI rights when they have scant regards for human rights? I'm not concerned about what AI can do. I'm concerned about what AI will do.
Is in direct conflict with:
"they don't show anything approaching sentience or self awareness."
Waiting for us to figure out sentience before we decide to apply morals is akin to OpenAI being in charge of determining when we have achieved AGI. The people in power have no incentive to declare it even if evidence is available because it destroys their profits indefinitely
You don't need a mathematical model to use something that's built into you. For example, you don't need a model of android locomotion to climb a flight of stairs. But you absolutely need one to build a bipedal robot that does the same - especially if there is a danger that it will lose balance and land on top of you. Artificial sentience belongs to the latter class.
I'm not concerned about machines gaining equal rights. But I'm worried about how that will be used by the rich who build them - as I outlined in my previous reply. And as long as the provision for its abuse exists, it's guaranteed to be abused. Given such a situation, adequate care and precautions are much more warranted than the zeal to declare sentience prematurely.