It might be a cheaper and better solution to consider the use of better storage containers, rather than an expansive cabinet. May be use bags to place the storage containers into before storing in the cabinet.
Ultimately, there is nothing special about the cabinet itself. It is a storage space that is inside of a larger storage space, a room, and outside of a smaller storage space, the container. There is nothing special about drawingthe line of acid safe vs acid reactive at that storage boundary.