The answers are in the data-sheets of the relative devices. They are not novels but technical documents, so they must be studied and not simply looked up from a distance!
By the way:
- if we compare lemons with apples what we expect for the result to be?
- what is more important the mentioned offset voltage or the stability of it? Tip: there is a calibration procedure...
Not sure I understand what you mean, if you have a specific reason pls do share.
As mentioned stability appears worse for OPAMP and temp ppm is definitely worse when using opamp.
Did you understood how the reference inputs of the device operate?
Do you realize that when the clock changes, it also change the effective impedance of the mentioned inputs?
Do you understand how the calibration cycle works? It draws current from the inputs. The capacitors are there also to help stabilise the voltage, because this current is pulsed.
What are the consequences if you are loading with current a voltage reference? Did you studied the datasheet of the ADR03? What happens with the power dissipation of it?
...
Where have you seen that this Op-Amp is "definitely worse", than the used voltage reference, in temperature drift? Which datasheets are you using, and which characteristics are you comparing?
The part of the circuit, that is presented, is almost a copy of what the manufacturer of the device suggests. Are the engineers of TI competitors of themselves?
Example pages, with relative discussion, in ADS1256 datasheet: 16, 17, 28, 29
Regards,
Damianos