Not quite. The diamond is the result of a construction sequence process. In the sequence of construction, the column pier is first, followed by the slab. Blockouts (the diamond) at the pier location are placed before pouring the slab. The blockouts permit the steel, which comes later, to bear directly on the pier and not transfer load through the slab to the pier. After the column base plates are checked for bearing, grouted, and the anchor bolts confirmed tight, the diamond is filled in. In my companies 300,000+ sf warehouses, no expansion material at the diamond fill to slab interface.
Same process in residential construction, at least here in Northern VA, except the lolly columns are not anchored to the pier, just plumbed, top welded to the steel, checked for bearing on the pier, and filled in.