There is zero difference between streaming music and physical media...
As long as there is no actual difference.
The idea that people have that streaming is inferior is well justified because streaming often has lossy compression which is applied to the original source material. But, this is changing (slowly) as the pipelines for data continue to open up wider and wider and wider.
A CD sends music along a 1,411 Kb/s. That can be cut in half using lossless compression techniques, but doesn't touch the solid quality that a 128kb/s MP3 can deliver in your home through generic speakers, or outside, or in your car as your driving down the road with the windows open. But, the 128kb/s MP3 has really given way to significantly higher quality streams... and lossless. Those recordings which are 1:1 versions of the original CD.
That's the only true fair comparison when you are doing so. You also have to consider the playback device itself as that can come into play to some degree.
I think if I was using a halfway decent CD player, I would want to put it up against a halfway decent streaming device... not the output of my phone. So, something like a Bluesound Node 2 or similar.
The Bluesound NODE unlocks the world of hi-res music streaming and multi-room audio to create a modern addition to existing hi-fi systems or your favorite set of powered speakers.
www.bluesound.com
Then, the source material has to be lossless, and what I am comparing it to has to be the similar lossless variant.
Unless you are receiving the same DVD-A audio from a streamed source, then you are comparing apples to elephants. It's just inherently different. But, with a CD compared to a lossless stream, things should truly be indistinduishable.
Of course, you can also store your physical media locally on hard drives and push them as streams without losing a thing.