The only sound quality differences between DACs are ones that are designed to sound different but not better. In other words, they bake EQ into the circuit. DACs that eclipse the threshold of audibility exist in the $150 and under range. It’s a solved problem.
Most inexpensive headphones in the midfi tier are going to provide the most wow moments. You can get 95%+ to endgame sound with something like the hifiman he-400 or send hd6xxs for around $100. Spending 10-30x that will yield better results, but it’s very small improvements by comparison. Since I got into Focal, my He-4xx doesn’t get much play, but I can’t bear to part with them. They’re awesome.