Still, 3,382 requests in a three-month span doesn't sound like all that much.
Maybe not to you, but that's where the value of the comparison you are so quick to dismiss comes into play.
Not only that, but if you have never had to respond to one then you really don't know what is involved. It is gathering all requested documents within the time limit the laws (yes, there are differing state FOIA laws) allow as well as knowing what is exempt in those laws and should not be disclosed. There is the tedious process of redacting documents of data not covered as well as preparing the deliverable. It isn't as easy as you would think.
There are legitimate reasons to deny a FOIA request that the law allows for like it or not. National Security is one of those reasons.