I have been working on upgrading my digital systems for over twenty years (audio for fifty). Currently my digital systems are on par with my excellent turntable.
Each component matters. The streamer, DAC, Preamp, and amp must be at similar levels to maximize the output.
Typically it is said that if you are using a USB connection the bitstream is retimed by the DAC. It is more complicated than that, but a good way to look at it. Through the connection you have (SP/DIF I assume) your bit stream is not retimed. Meaning in an elementary way you have your cheaper unit doing the timing. Try the USB connection.
Can you benefit from a better streamer, most likely yes. I have used many, my recommendation is Aurender… the best you can afford. I have had cheap streamers, $4K, $8K, and $22K streamers and they matter. Like the turntable the better the quieter the source, the better your system can sound.