I guess I should get the obvious out of the way:
Such a question would not be on topic on this site.
I say that for several reasons, but mostly because it's not a question about physics concepts, it will become a "big list" type question that gets populated over time. It's something that will require constant maintenance as new versions of the book come out, as new errors are found, and so on. It's also not a good fit for the "I have a question" and "Here is the answer" format. It's more of a thing for a wiki or a blog or something along those lines.
All of those things make it off topic from what we have discussed and decided before.
Now the less obvious part, and what I consider your question to really be: Should such a question be on-topic here?
And here I will say that no, it should not be. It's a great idea, it's a noble cause, and it's something that would be helpful to people who study that subject. However, the scope of the site is more narrow than that and we're not here to be a repository of every single idea, topic, or fact that somebody studying physics may want answered. I don't think expanding the scope of the site to include a single, curated errata for a text book is a good idea.
However, I am in favor of people coming in and asking questions that say "My book says X but I think it should be Y" provided there is an explanation as to why it should be Y. Just like we were discussing with the "check my work" questions. Because the answer could be "Well, if it really were a negative sign, this would be a production term and not a dissipation term -- so we know the book is incorrect." In other words, we can provide physical (or logical/intuitive) reasons to help the questioner understand why what is there is right or wrong and how to diagnose potential errors using logic, reasoning and physical insight.
That can't be done easily in a "big list" of errata format. So while a single list would make it easier for somebody to find the errata of some book, I think it doesn't serve the purpose of what we're trying to do here and it's better to have the questions about potential errors come in as they are now.
Looking through the list of topics in the Help Center, I would not be comfortable adding "Potential errors and mistakes in your textbooks" to the list of topics that we say people should stick to.