Wiki's Official Distance Unit?

But if distance is currently in meters for most things, that would mean bows have a range of 2000 meters? That's insane, I hope the numbers for bows are in centimeters.
people are used to having them that way though, and they don't really call it meters or centimeters in-game, they just call it "range", and the upgrades for them come as just numbers, as well.
I'd choose for Centimeters, since it seems to form the least problems for what the Wiki currently has, the main exception being Puppets.

How would that cause problems for Puppets?

Because they're what made us use meters, all the other things appear to be centimeters.

They're the only thing that definitively uses meters as 100 distance, so they're the main reason to have cm as a unit of distance.