I'm honestly a bit surprised this is such a game-breaker for a few people here. I'm probably clocked 30 hours so far, and it seems like I have a surplus of powerful weapons at any given time. Whenever I see a weapon I like, I can take a picture of it, and use my Shiekah Sensor to find it again while exploring, but that honestly hasn't been an issue yet.
I've only played a few other open-world RPGs to completion (I have ADD, gomen gomen), but I vastly prefer the system here to Skyrim, where I was constantly over-encumbered, and was forced to drop weapons after every dragon fight in order to store the bones. I suppose this comes down to what aspects of collection bother you, but Ive found the weapon cycling keeps things fresh overall, and item management is as simple as 'throw weapon, press d-pad, equip new weapon'.
I suppose if it's a such a problem though, it would be nice to include an unlimted durability mode, as long as it's optional. Or an in-game location that lets you repurchase old weapons.