When players tackle hard content we have a choice to use food, such as Red Curry Buns or Sole Sushi, which buff our Attack, Accuracy, STR, DEX,and so on. While players can do this on most jobs, BST can buff themselves but not their pets, their pets play an integral part in the job itself and yet on harder content such as Ark Angel battles the pets are simply let to fall behind.
Now I know some gear enhances our pets with more Attack or more Accuracy, but part of what makes food for other jobs so great is it's often a choice. The choice between saving some gil and making up for Accuracy with gear, or spending a bit of gil to get that Accuracy, and thus allow yourself to gear with more Attack, is one BST just doesn't get with pets it seems.
So, my proposal. Let BST have a ton of new pet food, not for healing their pet but for buffing their pet! New pet foods with recipes with the normal food in it and some new item that would make a new pet food, for instance, a new 'Red Curry Treat' which gives your pet the same effects as a Red Curry Bun. This Treat would be crafted using 1 Red Curry Bun and a new 'Pet Mix' crafting item, when crafted it would create the 'Red Curry Treat' that you feed your pet.
Feeding your pet would be done with Reward just as you heal your pet, so using it does activate the cooldown on Reward and give it some penalty, but it would boost your pets stats by a great amount and make BST much more useful. The only buffs players can give pets of any kind right now are via Rolls and such, hardly any usual buffs, and the buffs to a player's pet are often ignored because they don't benefit the player or other party members.
I think this would be a great way to fix pets for higher end content, allowing Accuracy foods for pets such as 'Sole Sushi Treats' and such. This would also also provide a bit of an economical boost, and since it's optional, it doesn't raise the cost BSTs have to pay normally.