The recipe book's inventory GUI open tag is not separate from the recipe book's crafting table GUI open tag

How to reproduce

1. Make sure your recipe book is closed in your inventory

2. Open the recipe book in a crafting table
   → Observe that the recipe book is now open in your inventory.

This is not the case for furnaces, as their gui tag is separate from the crafting table/inventory recipe book gui tag.

You can see this using

/data get entity @s recipeBook.isGuiOpen

/data get entity @s recipeBook.isGuiOpen

and

/data get entity @s recipeBook.isFurnaceGuiOpen

/data get entity @s recipeBook.isFurnaceGuiOpen

This can be quite annoying for players who want to see the duration of their potion effects, which is covered by the inventory recipe book, and who also want to keep their crafting table recipe book open.