DAC chips only get you so far. People tend to weigh those more heavily for some reason and don't give much thought to how the manufacture implements the rest of the hardware. So a $400 streamer might have a high-end Saber DAC chip so they can market that but the internal connections, inputs and OS are so-so and thus the streamer sounds OK.
My dedicated Cambridge CXN streamer sounds much different than the streaming capabilities of my Marantz integrated. The CXN sounds cleaner and more revealing when I use the Direct option on the Marantz but only when I listening to high-res FLAC files or lossless streaming sources. If I'm listening to Spotify Connect the SQ is nominally better on the Marantz than the Cambridge unit.
In the end, it comes down to what you are willing to spend and if you can do side-by-side comparisons, you'd find improvements. Whether they're monumental or nominal depends on how good your hearing is.