I don't understand your post, George. I think we're both agreed that the AD5791 provides a voltage output, as the datasheet plainly says in numerous places. But it has a very high output impedance, and as Ric indicated it seems very conceivable that the voltage is directly generated by the resistor network. Rather than via an internal active stage that would perform an I/V conversion. Although without further information we can't say that with complete certainty.
Also, I don't see the relevance of your reference to the PCM1704. The stage (U1) you referred to on page 9 of the PCM1704 datasheet is, as you said, an I/V converter. While the stage (U6) you referred to on page 26 of the AD5791 datasheet is a unity gain buffer configuration, which would provide an output voltage closely matching its input voltage.
Regards,
-- Al