The usage of chip topography and diagram(schematic)?
As mentioned in another answer, the die diagram is helpful if you are buying the chip as a bare die and doing chip-on-board or hybrid assembly.

The schematic is also helpful for understanding how to drive the inputs and how to load the outputs. It helps you know tings like whether pull-ups or pull-downs are needed, whether ac-coupling is needed. It might give an idea whether the output is able to source or sink larger currents. In your op-amp example, there's also some indication of how the compensation is done, which will give an idea of what the chip's open-loop frequency response looks like (not just the bandwidth, but also how many poles and zeros).

The component count, which you didn't ask about but is shown in your schematic example, is used in some reliability models. It is combined with the device count of other ICs in the system to estimate the MTBF for the system.