If you start with digital there is no way anyone could know if DSP is used or not. You would know if it was turned on/off but it is supposed to be doing something so I hope so. Can you hear an A/D and D/A conversion? With the right parts highly doubful but then some claim to hear the difference between different high end caps in crossovers so it is a moot point I think.
I would read what Bruno Putzey says about active speakers. He is designing to a price point but still next level in terms of what is possible. Impossible to replicate with passive.
Implementation will still trump basic technology. It will be like vinyl and digital. Digital is far more capable but a good mastering is more important than anything. A bad speaker will be bad no matter passive, active or DSP. However, similarly, it will allow very competent lower cost speakers as the tech progresses. Being mechanical good speakers will never be cheap of course.
One thing is for sure, a small portion of the audiophile world will continue with their old tech, blissfully claiming the superiority and pureness of their old tech (using lots of incorrect concepts and poor understanding of how things work) while the rest of the world progresses without them :-)