Usual response is no because other classes don't have access to special inventories for their consumables. Doesn't always make the most sense, given the quantities involved, but the general interpretation is that combat classes should get a special inventory for potions, special inventories for foods, crafting mats, materia, etc, etc. They're refusing because they don't want to give a class special treatment.

At this point we just all hope "inventory expansion" or whatever they're planning somewhere in Stormblood helps this issue.