On the previous picture, I just noticed something interesting on the PCB: pin 1 of XLR output connector is mentioned to be "not connected to the PCB". Thinking about the different possible causes of "ESS IMD hump" discussed on other topics, I'm wondering if this unconnected ground is not "improving" in some ways the sensitivity or impact of common mode disturbances (i.e. including a kind of correlated noise that would appear as a THD/IMD) generated by ESS DACs on the differential outputs. If you don't connect the ground between your 2 devices (DAC and AudioPrecision in the case of Amirm testings) you are floating and it adds a non negligible common mode rejection to the system. Of course, we all know that we wouldn't be totally floating because of different parasitic impedances, and I know this is not the best way to proceed in pure terms of EMC, but be sure that the guys at Okto are well aware about EMC, they know how to work, and if they decide not to connect pin 1, they have good reasons...
An easy way to validate/eliminate this root cause would be to perform a test on an isolated (i.e. on PSU and inputs) DAC with the well known "ESS IMD hump", and to check if the hump is affected when connected using a cable with pin 1 left unconnected.
P.S: Sorry for my poor english skills...
It should be connected to the case at entry, if so they are doing the right thing.This wont affect the ESS hump.