I know there's nothing more thrilling and exciting than mindless paperwork. Look, if you insist on tracking stuff like arrows, then any archer-PC with a brain will be hauling around huge numbers of them. Assuming availability of HHHs, QoE, portable holes, bags of holding or even just pack mules, it just means that you are adding more record keeping. Most archer-pcs in my experience also have sufficient skill to be able to craft their own arrows. Between the two, it strikes me as more a "masochisim=REAL roleplaying" sort of thing to insist on tracking of basic arrows. How many of you are equally strict with mage's material components?
If it's a situation where they are going to be cut off from any sort of resuply, then yeah. I can see insisting that the char track arrows. Tracking special arrows, fine. But generally speaking it's just insisting on pointless paperwork.