I ran some eight schools tests. 1000 centered models with the new vs. the old stepsizes.
As expected we got some more divergences. For the plots I threw away calculations with >150 divergences.
In terms of quantiles:
New:
0% 25% 50% 75% 100%
0 11 19 32 990
Old:
0% 25% 50% 75% 100%
0 8 15 28 540
I guess this is roughly what we expected?