In EFILive TCM tuning, there is a TCC solenoid duty cycle table that is referenced between throttle position and trans temp. The 01-05 allisons have 98% max duty cycle, the 06's have 65% max duty cycle. IIRC the 2006+ allisons pulse the TCC solenoid at 1000hz, whereas the 01-05's are pulsed at 100hz. Maybe this is the difference? I wonder what would happen if you set the whole table on an 01-05 allison to 98%? Probably get much harder lockup because the converter wouldnt be pulsed on. Shock load might break things tho. Im not gonna be the first person to try it!
I bet you might be able to change the table to make ity pulse the converter on FASTER/more aggressively, but I wouldnt completely get rid of the "gradual" apply.