As an author, this sounds amazing, if I can also get a look at the things people ask.

Especially if I can get some sort of stats on the questions.

Like, if there were a lot of questions about when a character did something, then I know I wrote that badly.

Or if people talk about a set of characters, then I know that those characters made an impact.

Or if no-one asks about the book itself, but about some plot point or worldbuilding idea.

In general, if I, the author, can get a peek at this data too, it would be of immense value to me (and my publisher).

That's a privacy nightmare. I absolutely would not want authors to have access to this information.