I had a random thought that I'm shocked wasn't thought of when Fisherman was first created.
The idea is that the little tackle box option we use to select between our bait or lures is to turn that into a separate storage for putting our bait and lures into. As a player who just finished getting my fisherman to level 70, the issue of fishing is mostly your inventory being filled with nothing but bait. Now while we did get an expanded inventory back in Stormblood and soon we are getting Chocobo carrier storage, I still feel there should be some element to some kind of storage (limited maybe to 10 or 15 types) for our lures/bait to make more room for our inventory.
You could drag from your inventory and place into your tackle box the bait you wish to use, while retaining extra and swap out from your inventory at any time.
Not sure what others think but this could alleviate some issues of carrying around bait/lures