OP, the way you pose your question makes it seem that you're looking for a prompt to go upgrade your DAC. It's your time and money -- and you could be guessing correctly, so why not try it? Otherwise, it's very hard to know.
On this forum, anyone can throw out the name of a component to swap out or a brand. The more important answer to your question would describe a process of elimination to help you identify where the weak link(s) are. Then, you could know if the speakers were the problem.
Steve Guttenberg has a good little piece about not changing your speakers too quickly. A lot here is old news to folks --how good is your power? is his main question, but he mentions other things, such as the DAC. https://youtu.be/7gXSvHDOjFs
On this forum, anyone can throw out the name of a component to swap out or a brand. The more important answer to your question would describe a process of elimination to help you identify where the weak link(s) are. Then, you could know if the speakers were the problem.
Steve Guttenberg has a good little piece about not changing your speakers too quickly. A lot here is old news to folks --how good is your power? is his main question, but he mentions other things, such as the DAC. https://youtu.be/7gXSvHDOjFs