Other Parts Discussed in Thread: DAC60504, DAC80504, DAC70504,
We encountered this exact same problem after 2 days of chasing it, then finding this link.
While the response was very clear and accurate, for me, the data sheet really needs to be updated to address to state this full response. It is not abundantly clear from just the Recommended Operating Conditions that there is a reference headroom consideration (at lower operating powers) that shuts down the DAC Output Amplifiers.