Its not a difference in accuracy. So far the anime has been spot on to portraying the manga...up until I think it is Chapter 33 or 34 which I think is episode 24 and 25s. The manga is now up to chapter 53 if memory serves me right, and so its just that the anime is far behind in certain plot developments and revelations, but in terms of accuracy you are not losing anything, you just don't know as much.

I hope I'm answering your question right XP