I think you are adjacent to the real story here, but missing it. AI text contains information, certainly. Frontier chatbots are very good at creating acceptable and mostly accurate answers to our questions on just about any topic. It’s an astonishing achievement.
But you are sensing correctly that there’s something missing. It’s the meaning and the speaker. Communication is an exchange between speaker and listener. The speaker has a meaning in mind, and wants to create that same meaning in the mind of the listener. Therein the problem.
There is a listener, sure. But no speaker. No meaning. There is information, but how can this be communication? Nothing is talking. Or at best, we are just talking to ourselves, our own words back at us through the funhouse mirror.
When your mind looks at AI text, you know you can safely ignore it. No one wrote this. No one cares if you read it. You can delete it and nothing of value will be lost. It might contain the information you need, or a bunch of gibberish. There’s no one’s reputation on the line if it’s gibberish.
I prefer to think of this in terms of Umberto Eco's opera aperta (open work): if any text is a collaboration between author and reader/recipient, here, all the burden of meaning is left to the recipient. There's simply no meaning on the side of the "author", it's just a statistical extraction.
(There's also the problem of words/signs (just) referring to other words and/or cultural entities. There is no world nexus in this, therefore also nothing we conventionally refer to as meaning. On the other hand, it's utterly dogmatic, as all it refers to is the most probable construct, as a reference to references that are just another utterance, but supposedly a dominant one.)