The gacha has pretty bad rates, and three types of items in the same summon: Characters / Weapons / Souls (Accessories or Craft Essences basically).
Characters: 5* = 2%, 4* = 5%, 3* = 38%
Weapons/Souls: 5* = 5%, 4* = 10%, 3* = 40%
You can farm pretty good Weapons / Souls overtime so they feel even worse. I think the best you could argue for from Gacha only Weapons currently is Judgment Hearts, which makes you do 12-18% more damage using the enemies Elemental Weakness. There is a farmable Psychowand that reduces skill cooldowns that sounds pretty good and has the highest overall Attack as well as other similar weapons.
For Souls they all have a "Once Per Quest" effect as well as some stats. Fighting or creating IDOLAs can give you Souls of that IDOLA which have the same stats at 5* Souls limited to the Gacha, while their effects are also pretty good, Increasing an Elemental Value after using a Special Skill by 2. Can do strange things like using a Water Character's Special with the Fire one equipped to charge up your Fire Element, and or just match them to 'lower' the cost of 1 special from that character per quest.
Bumped has them all listed, but not where/if they are farmable at this time:
https://bumped.org/idola/idola-weapon-database/
The official(?) wiki shows where you can obtain them:
https://expi-games.jp/idola/object/detail/24132
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