Okay, operator error. 230pF, an error shifting decimals from scientific notation. This on-line calculator matches my calculator's output:
My spreadsheet also correctly gives 8.85pF for 1m^2 plates one meter apart, so I think it's working okay.
I measured the capacitance of a 50x30cm sheet of random pcb, presumably FR4, at twice the predicted capacitance. Annoying.
Regardless, stray capacitive loading is minimal and not a consideration vis a vis my hot spots.
Cheers, James Arthur