You raise an excellent point here. A full-blown DAW is practically without limits: hundreds of tracks, unlimited effects on every track, any signal chain is possible.
But making art is about working within constraints. Most of the best art derives from the constraints as much - or more - as the capabilities of the devices or instruments used.
However there is a technical reason why these devices do sound different, and that is that they all impart euphonic distortion. Bass sounds "bigger." Treble sounds "clearer." Mixed tracks "glue together." Vocals "pop out." A sense of "depth of field" may be imparted. Technically speaking this is all "distortion" of the original signal.