A DAC has to translate digital to analogue with leaves a lot of room for interpretation.
No, it leaves no room for accurate interpretation and can be done today with near perfection, at least as far as any human can tell. However, some companies do "interpret". That is art, not reproduction. If it suits your desires, it is worth the money to you.
DAC 1 -- Bluesound Node 2i (owned for more about 2 years)
Known poorly performing DAC with performance < human hearing range, and some noted issues where performance drops.
DAC 2 -- Audio Mirror Tubadour III (non-SE version; owned for 1.5 years)
Tube DAC, of course it is going to sound different.
DAC 3 -- Luxman DA-06 (owned for 1.5 years)
DAC 4 -- T+A DAC 200 (loaner)
Set to play back accurately, with the same filters, you would not be able to tell these apart without knowing what is playing. They both have controls that let you stray from accurate reproduction in which case you could tell them apart. They are no longer "state of the art" in that instance, they are just "art".