With my built and tuned trans, the major difference between normal and tow/haul mode 2nd gear lock-up in tow/haul mode. In normal mode it locks in 3rd while accelerating which is ideal unloaded since you go through 2nd so fast.
The upshift points are very similar, but the downshift points or more aggressive. My line pressure is the same at 250 psi max regardless of mode(which is what helps the clutches handle the added power I have in the engine). I believe a stock 68RFE line pressure is up 115 psi in normal mode and 130 in tow/haul, but don't quote me on that. I know the stock valve body on the 68RFE will only handle up to around 170 psi . I am not sure what the ZF 8 speed line pressures are.