There are several places where you could potentially "lose" the water from the main streamway to the resurgence just on the left in front of Peak Cavern. though I doubt the flow is much different.
From surprise view ladders the first place where you could lose it is in Tom Browns inlet sump, in high flow down the streamway I don't know how much it backs up. hypothetically if the passage on the other side of this sump is right then water backing up on our side (the streamway) could force water to flow the other way through this sump. although given the flow measured only 3 months ago out of Tom Browns, It is improbable that the passage on the other side allows for a "perched" sump.
The second place is Styx inlet sump, again an inlet... so the same hypothesis about potential reversed flow can be applied here, and I think the flow is much weaker here, but blocked by an underwater silt bank.
Styx inlet is a righthand branch in the Halfway house/swinehole part of the Peak Cavern Trip (just on the left as you've come down the slide near the start).
Halfway House- Swinehole is the left hand branch, the water rejoins the cavern in the vestibule, but this section of dive is (as far as I know) blocked with debris, and is potentially the reason why the water backs up and floods the cave in the Three arches section and backs up the devils staircase. Who knows if there's an exit for the water in this section.
The water exiting the swinehole into the resurgence is clearly limited by the blockage and so the water resurging here doesn't change very much, and seen as the backing up is only caused by excess water from Speedwell exiting via treasury, there is not much difference between the Main Streamway and the resurgence.
If you mentally added up the flow of Squaws junction and the junction with Lake Passage (ink sump water) then you will probably get as much water as is exiting the resurgence.
Far sump barely has any flow at all.