My apologies to the OP. You touched on a forum nerve, I hope you get what you came for. Don't be put off by the minutia, read between the lines. You got an answer at soo many levels it hurts. pick the one that suits you.
Originally posted by normhead I's the same, ƒ8 on FF is the same DOF as ƒ5.6 on APS-c. The difference being you get a higher shutter speed with AP-c. The benefit to the FF is at base ISO you have more dynamic range.
1000 questions, same answer.
I would love if you took the time to to do an "extreme" conditions test where it should be obvious between the formats. Maybe we need a Go Fund Me. If we could fund it, it would be great to see every condition people say it is obvious between the formats and see how well it holds up. I suspect we would see a gradient by conditions. Extreme parameters would yield clear results and non-extreme parameters would yield no statistical difference.
The OP's example is slightly extreme in that the low light forces the shutter to be 200 max to stop motion(I assume) while being able to open up to f/2.8.
Scientific controls must be established that
200 is sufficient to stop blur.
less than 200 cannot stop blur.
there is no shutter shock which causes said shutter of 200 to be lower.
The light cannot be turned up.
That ISO of 200 will affect picture quality more than shutter of 100.
The difference of ISO 200 to 100 vs shutter of 100 to 200 must be established.
Other.
We will then be able to possibly determine an advantage or disadvantage to this specific scenario.