Where is that bookshelf located vis-à-vis your audio system? A bookshelf is definitely better than nothing, but it cannot possibly compare with a properly designed diffuser panel. I used such bookshelves to mimic diffusers early on, but once I tried diffuser panels (GIK Alpha 4a), there was not going back. The 4” Alphas are combination absorber, bass trap, and diffuser. I now have 14 Alpha 4” and 6”.
Here is copy / paste from GIK website:
The key to good diffusion is an even scattering. A quality diffuser should scatter the sound in a complete 180 degrees. GIK treatments like the gotham and alpha series are designed with a mathematical formula to give a perfectly even scattering.
Good diffusion doesn’t happen by accident, the designs are very precise and complex. Some people suggest using a bookcase filled with books as a cheap form of diffusion, but a random assortment of books is extremely unlikely to have the layout precision required to produce good diffusion. It’s probably better than a bare, reflective wall, but it won’t perform like a good diffuser.