I have indeed done such tests to determine which formats are truest to the source. While we didn't have high order dsd back then, but we did have access to the best recording technologies and equipment.
The tests involved musicians playing live acoustic instruments, recorded in both analog and digital (to dat), and played backed thru what we felt was the most transparent system we could assemble (including headphones which I still use to this day).
In one session, we were blessed to have access to a direct to disc setup (cost us a small fortune), which clearly rivalled the best analog tape recordings, while being nearly indestinguishable from the original performance.
But the digital captures were clearly the least accurate of the recordings, sounding noticably and distinctly different from the live performances, which were all compared directly in real time.
To this date, I have not seen or heard of a single digital technology that can capture a live acoustical event accurately. High order DSD is the closest, but it lacks the critical inner detail to successfully pull it off.