When I play RPGs then it depends on the inventory. When im too full then I sell the useless stuff. When my first weapon is one of these items, so shall be it.
But on the other side, I dont throw weapons away right when I got a better weapon. Sometimes Im not sure if the new weapon suits my style, so I keep the old one and test the new one for a bit.
But mostly at the end of the game, you will see only the most recent picked up weapons in my inventory, the old ones are maybe sold or thrown away in a dungeon