No, there are fights that will deplete an arsenal of even the strongest weapons. The hardest combat shrine which you find in the castle for example. You can play it perfectly but if you don't have enough high damage high durability weapons, you will be mathematically unable to defeat the boss. I used all 3 big elemental weapons that you find there and several of the big swords you get from the enemies there. There is literally a maximum amount of damage you can do due to inventory limits, and that boss comes pretty close.
You have infinite bombs
Using bombs isn't fun though.
Not on that type of enemy, no
But its not a literal damage cap is all Im trying to say
And for Gods sake cook stat boosts
I forgot to mention that I also hated the cooking! Really, all the survival stuff wasn't fun for me. ---