black holes appear as a logical conclusion of the current gravity models...
So we agree someone does not need to have direct experience of something in order to be knowledgeable of it.
However, as I've showed, LLMs are not able to reason properly
As I've shown, neither can many humans. So lack of reasoning is not sufficient to demonstrate lack of consciousness.
nor access to the real world
Define "the real world". Dogs hear higher pitches than humans can. Humans can not see the infrared spectrum. Do we experience the "real world"? You also have not demonstrated why experience is necessary for consciousness, you've just assumed it to be true.
"can you really claim knowledge over something?" is a real problem in philosophy of science
Then probably not the best idea to try to use it as part of your argument, if people can't even prove it exists in the first place.