A truly interesting bug!
So: If, in the event of a fault, the acceleration is significantly greater than what can normally be achieved with the accelerator pedal, then this (just thinking out loud) means:
1. More energy is converted.
2. Consequently, more fuel (diesel or oil) needs to be injected into the combustion chambers than usual.
I immediately wonder if your device produces soot in case of a malfunction. If so, is it blue or black soot?
The engine starts to sputter .
The sudden forward surge reminds me of the acceleration of a jet taking off. I can't achieve this kind of acceleration with the accelerator pedal.
Nice description for 'slightly crazy'

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To what extent does the engine still respond to the accelerator pedal in the event of a fault?
Is this dependent on temperature? Is it dependent on load? Is it dependent on speed/gear?
It sounds a bit like the jerky behavior of a 1Z engine, but at different RPMs and much more extreme. A sticking/difficult-to-move fuel metering unit in the pump and an unfavorable control strategy of the engine control unit could cause something like this, but it shouldn't only occur during longer drives in that RPM range.
But I can't really think of anything suitable to explain the stronger acceleration than 100% pedal. Could you qualify the acceleration a bit more? Is it closer to 110% pedal or closer to 200%?
Regards,
Private.