I have the XLR version of the HifiBerry connected directly to Hypex NC400 monoblocks. I have done blind (ABX) testing with iFi micro iDAC 2 and was unable to consistently tell a difference.
Now, you may say that both these DACs that I have are in the same league (and although Amir hasn't tested the iDAC 2 explicitly, it is mentioned in comparison to individual tests done on other products, and my impression is that indeed, they are in the same (orange) tier of DACs on Amir's SINAD scale), and that's fair, as we expect any non-broken DAC implementation with similar SINAD and IMD and other metrics to sound exactly the same.
The ALLO and OrchardPi products are expensive (for RPi HATs - but very affordable in comparison to desktop DACs!) Of interest would be if you can hear a difference between the newly tested AUDIOPHONICS DAC I-Sabre ES9038Q2M with its modest price and the HifiBerry. I am not sure you can, but there's only one way to find out... ABX.