I used the BALZ/W969 with s430 to get used to the wind foiling again. That stab makes the foil super stable from side-to-side, even too stable I'd say, but in light wind, with a board that has front straps wide apart, that was kind of helpful. I am using a shorter 74 cm mast, and a very light rig, so no shims needed for me.
Today I switched to a smaller board, with front straps closer together, and to a s370 stab. Much much more agile now, and getting used to a smaller stabiliser was instant. Again, no shims needed for me, but with a longer mast and heavier rig you may well need to shim either of these stabs you mentioned.
Long video, nothing much to see, but I am so hyped about windfoiling again : ) Good crowd in the water too, we had 5 people with wind foils, 2 with fins, and a few wings too. The last glimpses of summer.