That's definitely how it's supposed to accelerate in the second video! It's a bit surprising it took so much MAF cleaner to work, though. What octane fuel do you run?
I'd adjust the accelerator wire on your mechanical throttle body equipped Pathfinders (01 & 02) if you notice any slack at all - see
FE-3 of the factory service manual for instructions. Be sure to adjust the cruise wire the same way, but turn back the adjusting nut 0.5 to 1.0 turns rather than 1.5 to 2.0 turns as with the accelerator wire adjustment.
Welcome to NICO!