This question can’t be answered without a look at the software and the particular streaming configuration you are using. You might as well ask whether a Porsche or a pickup are better...if you’re hauling landscaping supplies the answer is different than if you’re showing up to the high school reunion.
If you are using the streamer to pull music from the Internet or your network (or internal storage) and decompress it, add DSP, and output directly to a DAC, then you need a fair amount of processing which means more power consumption which means you need someone to engineer that to the electrically quietest possible which means some $$$. At least theoretically albeit many DACs will reject the vast majority of any possible noise anyway.
If you are using a server->streamer topology where the server does all the processing and sends a decoded, post-DSP signal to a dumb device that only takes the signal in by network and outputs via USB or other digital, then what you want is a very quiet low power device and those aren’t nearly as expensive to build. Someone who knows computers could build a Pi, a linux device, etc. that will perform quite well.
Secondarily some of the more expensive boxes may have more featured software and/or be compatible with more streaming services and protocols.
It depends on how much you know what you are doing. If you’re really good with building IP-computing devices and networking, you can achieve the same as the expensive stuff much more cheaply. But you do need the knowledge.
Nope there isn't a cheap work around.... or there wouldn't be all those expensive streamers on the market.
I find this logic fascinating.