if your CDP sounds better than streaming, it pretty much says you have not kept up in the "arms race" for a streamin set up.
I disagree, they can definitely go toe to toe, you can easily increase the sound quality with either a transport or music server/streamer. It depends on how far one is willing to go in terms of budget comfort zone.
Both of these digital source components can range from "just ok" to uber level of performance. Examples of superb design, engineering and implementation exist for either source options.
Charles