These are the actual damage profiles of ZiS prepatch (Zis1, blue; I was lazy so sorry); ZiS postpatch (Zis2, orange) and the Brummbär. The only thing that is not accounted for by my calculation model is if the max AoE differs from the far AoE distance point. In that case, everything that goes beyond the far distance point is neglected and 0, but units like that are quite rare from what I remember.
Graph resolution is 0,1875 m.
Data for Zis-pre / Zis-post / Brummbär
kill radius for 80 damage: 1,500 / 0,000 / 1,106
area under plot: 206,04 / 204,41 / 376,70
functional area under plot: 206,04 / 204,41 / 301,09
Note: "functional area" is the area of the plot that is also below the 80 HP mark which basically corrects for artifacts when calculating AI capability. Graph areas are arithmetic estimates and no perfect integrals.
Conclusion:
Prepatch ZiS and Postpatch ZiS had the same overall AI damage, but prepatch there was a high model wipe capability (even better than today's Brummbär). Now ZiS can't wipe a full health model anymore, while overall AI damage stays the same. I can't tell anymore how reliable the prepatch ZiS was at hitting targets, but if the scatter was not touched I'd say it's an overall nerf (just like every artillery unit and even abilities got changed towards more reliable, less bursty damage).
If anyone provides me the SU76 data I can insert them into the graph (although 4 units is the max to compare).