So as the difficulty increases the rarity of the coin increases.
I find some problems with this...
First, it means that the devs and early adopters get an unfair share of coins while the difficulty is still low: instamine!
And worst, I'm encouraged to do block withholding!
If I had a super mining rig I'd put it to mine full speed, and if I found a block with 0 reward, it's best for me to delete it instead of publishing it. In this way I can mine without affecting the difficulty, keeping it low and having more chances of finding an "anomaly". Of course there's tx fees, but in the first days those won't be much...