I'm not understanding your "one stop down" thought.

f/11 at 1/250 is the same EV setting as f/16 at 1/125, as is f/8 at 1/500. Your settings are all variants of sunny 16 at box speed, EI 125, not EI 200.

Sunny 16 at EI 200 would be f/11 at 1/400 or f/16 at 1/200 or f/8 at 1/800.