Typically you don't see this used on a PLC, because typically a PLC is used on a machine and is relatively close at hand, so the wire length is not an issue. But that manual is for an Emerson DCS (Distributed Control System), not a PLC, which generally means it is not controlling a single machine, it is controlling an entire processing plant of some sort. So when you need specific inputs to a DCS from a device that is maybe thousands of feet (or even yards) away, voltage drop and exposure to damage becomes an issue. So if you attempted to use the same power supply that the cards and processor use inside of your panel and something goes wrong in the circuit, you lose everything connected to that power supply, which in a processing facility can mean a major disaster. So what you do is put a power supply out in the field with the sensor so if something happens, you only use that one sensor.
But now what you have done is introduce a risk of having noise or voltage problems in that "foreign source" sensor circuit bleeding into your entire controller environment causing disruption, errors and even failure. So by having that foreign source isolated through an LED optocoupler, there is no direct electrical connection of that foreign source and the control system power.