From my perspective streamers are simply purpose built computers that provide a digital signal to your dac. That can be as simple a single board computer like the Raspberry PI to some of the ultra expensive highly modified computers that go as far as to supply three separate power supplies for the the voltages required to process your signal. They refine the internals and isolate the output to unimaginable levels.
Allo who makes streamer hats (and power supplies) for the Rasberry PI emphasize how less than clean power can degrade the sound.
From Allo website: "The Digione Signature needs 2 PSUs to run.
We strongly recommend you purchase the battery pack or use a very good power supply for the clean side."
The other difference, the software interface. It's ease of use and whether it supports your streaming service or the OS you are going to use to control your music. For instance the Lumin control software doesn't have Windows PC version.
I've not stepped up to an expensive streamer. The major issue for me (besides the money) is that the support for Amazon Music. I also haven't completely explored getting the most out of the streamers I'm currently using. I do think that both the streamer and dac are important and providing the best source will pay dividends on your systems performance.