Is there any possibility of moving away from centered distribution (I.e. normal distribution) and towards a skewed, bottom heavy distribution?
I imagine guaranteeing stability, no rank inflation, ... is much more difficult. But it may be more representative and allow you to adress some of these issues.
We try to model our skill estimation to the results we get, not towards a particular shape of a distribution we have in mind before starting. So aiming for a bottom-heavy distribution wouldn't necessarily be representative of the data we see in game.