anonymous on Nostr: I think we're on track. I use "data" and "data-carrier" to indicate that it is about ...

I think we're on track. I use "data" and "data-carrier" to indicate that it is about "data" before meaning and understanding is established, with "information" being data that has meaning established. (Unfortunately not guaranteed correct, just any meaning.)
"Facts" being data that is also established to be truthful, often corresponding to past events, such that you can point to them and if your interpretation is correct, it shows that the facts are truthful and possibly they themselves provide information. (If you point to a rock and say it's a rock, then your data is fact but it doesn't give you much information, it doesn't tell you much without any accompanying information or context.)
Now if you tell people things, those words carry data, but not necessarily truthful or correct or sensible. People who try to find meaning may succeed or fail, but that doesn't make the meaning they found reality. Similarly, that would mean reality is conflicting according to different people, i.e. different people's deviating interpretation.
You can mislead people to believe data is a particular facts or expresses particular information, but that doesn't make it true. It just makes you fool a person, and this person is fooled to believe it is true.