Well... obviously... it's not what I call it. The most you can maybe say is that it is what the members of your community would call it if my grimoire were theirs, and that's fine. I simply don't subscribe to that community's "official lexicon." "Book of Shadows" is something Gerald Gardner made up. I don't recognize his authority, no matter how many later non-Wiccans may have adopted his term. I have a grimoire and several journals.
What I have that is more akin to what you might call a "book of shadows" would be my journal where I keep observations, readings, things that need to be tweaked, things I am working on and such. My grimoire is only the more refined materials - things I will need to refer to later or that hold great significance to me. It is indexed and cross-referenced - a working manual and a consecrated tool.
Maybe I will start a General discussion. In doing a quick search, it seems to be something that has come up a lot. It's a matter I gave considerable thought to a long time ago, and pretty much forgot about over the years. "Grimoire" may sound a bit presumptuous, I admit, but it is not inaccurate.
By the way, with all the controversial views I hold, I would never have imagined this one would be the first to spark a debate here!