Don't forget that not reading your read/review pile results in more time that you can spend elsewhere.
Before, you were probably reading reading those documents as they came in. Now, you are making the conscious decision that the document is not important enough to read now. By not reading them later, you are making the subconscious decision that they are not important enough to read ever.
In fact, you probably do read the things that something or someone depends on, right? You're not missing anything crucial, you're just not reading the nice-to-read things.
So I'd say there's no problem. You're handling information overdose in a sane way. If anything, I'd get even more strict about putting reading material on the pile. The more potentially interesting material you have on there, the more chance that you will rifle through that pile again.
Next up: throwing away things from the pile when they become >1 month old.