Halo 1 version of the chip is much bigger vs Halo 2/3 version of the chip which is much smaller.
No, look at 1:03 in the second video. The chip is about as wide as chief's first two index finger bones are long. In my case, that would be 5 cm, but Chief's hands are probably larger.
(Although being smaller has certain advantages. We've already been over that.)