I have not been able to track an authentic measurement of the S-Cap. Only that some scientists think that the thickening deep inland is matching or more than matching the breakoffs nearer to the sea, such as the Larsen shelf. Now that's a bit vague, while what is happening on the N-Cap isvery absolute.
BTW, the NW route is wide open now. Bad news for places like....Panama.
As for dimming through particles in the atmosphere, that is somewhat troublesome, for the dimming wears off and then unleashes the full potential of greenhouse gases. Increased dimming has been considered as a man-made emergency plan in case the heating goes very far, and is basically possible, but a very rough remedy.