2) The chart doesn't break down required fees vs optional fees. tx with required fees (paying the absolute min) tend to be "junk" for lack of a better word.
Agree it would be useful to further break down the transactions by required vs. optional fees, or even shade them in some way to indicate how much above the minimum they are, if any.
Ah, this seems obvious now in retrospect. The bulk of the no-fee transactions confirmed right away are the higher amounts that exceed the low priority threshold. The no-fee transactions beyond a block or two do seem as spread out in value as the fee-paid ones.
Maybe I could get in touch with the site author and offer a small bounty to add more detailed analysis.