Acceleration due to gravity is the same, so the force of gravity is the same. But the force of gravity isn’t the relevant force here. What we want is the force of the bottle pushing down on the chip, and the equal and opposite force of the chip pushing up on the bottle.
In the case that the chip doesn’t break, the bottle quickly decelerates from whatever it’s speed was to 0.
In the case that the chip breaks, the top of the chip quickly accelerates from 0 to whatever the speed of the bottle is.
So the acceleration, and therefore the force, depends on the speed of the bottle at the moment of contact. This is where height and gravity become relevant. The greater the height, the faster the bottle during impact.
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