Based on recent posts, I believe that what the players WANT to do should always be number one on so small details. Since you know, they are the ones doing it
Counterpoint:The DM is also a player; one who spent potentially many days working on a setting and campaign to establish a particular mood (definitely not just me).
I'm not saying that the players have to bend over backwards to keep an encyclopedia of their inventory, but if the DM is running a relatively serious survival-focused campaign that the players have agreed to play, they should keep more careful track of their inventory for arrows, food, material components, etc.
Plus, this brings value to different proficiencies, like woodworking (for fletching), Brewer's kits for purifying water, etc.
Obviously if its a more typical campaign and this wasn't a previously discussed rule, then the DM shouldn't just spring things like that on the players
But... whats the problem into not being out of ammo ? Would an entire campaign lovingly crafted by a nice DM survive (get it?) That detail ? Wouldnt ammo tracking be a minor survival aspect anyway ?
Your point is good thought. But is it good enough to force it on players already tracking lots of stuff and not enjoying tracking this specifically ? I dont have the answer, it would depend on the player, the DM, and the campaign.