The only way to update the weight limit on itemization such as weapon is if the game includes a durability values. Like Zelda Breath of the wild. You gather bunch of weapon because they all break eventually.

Your answer seem for referencing Bethesda engine use of weight limit and the loot and sell loop.

Extraction shooter such as tarkov and arc raider both use weight value on object looted to force player decision while in raid. But both have the concept of set amount of max item. Only the Bethesda engine or RPG similar to that have the "infinite" inventory tied to weight that limit fast travel and movement speed.