Yet another use of the weapon range tags I've found within my group is to indicate whether a character is within attacking distance of something. My example is when character A is under attack by a monster (in melee) and player B is a few feet away. If character B wants to join in and counter-attack the monster, having a halberd makes this much easier than, say, a dagger.
In this case, character B might simply be able to deal her damage to the monster because it wouldn't have time to react to a quick thrust of a halberd while trading blows with character A. If character B had been using a dagger instead, the GM might have stated the monster noticed the rush toward the two of them and backed up enough to defend itself against them both, making the action trigger Hack-and-Slash instead. Or, knowing that it would be a (potentially risky) Hack-and-Slash situation, character B might only threaten to rush into combat range with the monster and simply trigger Aid for character A's next roll.
Additionally, standing in defense of an area would be simpler with a larger weapon (Close range for a battle axe perhaps) than, say, a shiv. The GM might be able to make a soft move to have the monsters move just beyond the reach of the defender and, while taking more time, still begin to pass by the hapless character.