I agree with John - I have used 1/2" / 3/4" Baltic birch for years for shop cabinets and as the sub base for my layout with homasote on top. Not only multi-ply but each ply is laid down with its grain pattern 90 degrees to the ply below. This is what makes it so strong and warp resistant.
Bottom cabinet is 2x4 framing with Baltic Birch drawers. The top cabinet is all Baltic Birch
As comparison the cabinet doors on the left are pine.