Even harmonic distortion is pleasing. It is higher order odd harmonics above 7th which are not pleasing and harsh sounding.
It looks like the R-2R DAC has equal amounts of even and odd harmonic distortion. The 2nd harmonic being the most important. Above 7th odd harmonics is where it becomes disagreeable to the ear. If the audio is filtered at higher frequencies (most older NOS designs have gentle roll off from analog output filters) then the lower harmonics will dominate and it could sound subjectively excellent.
This might be the key reason R-2R sound could be preferred for the same reason tubes are highly regarded for their wonderful sound...
A complete lack of harmonic distortion is about as dry and clean sounding as it gets - the latest ESS DS chip has extremely low 2nd and 3rd harmonic distortion (-130dB in the mid range) which is exactly where you get most of the harmonious pleasing warmth in tubes.