Processing the signal is what streamers do. Just like “smart TVs” but just sound. The nature of the picture on smart TVs tends to be somewhat different and discernible when compared in each case.
Anything is possible with digital including house sounds or anything a vendor determines might give their product a one up on others. The end result is what matters more than how it’s achieved. Do you like it or not? Plus it’s a black box. You hear the output but how that is processed is not necessarily advertised. Vendors have been associated with “house sounds” since day one. Digital just opens up new possibilities compared to say a phono cart designed to deliver a particular kind of sound when used properly.
If interested it’s a fair question to a vendor though exactly what kind of signal processing their product does to get best results either by default or otherwise.
It’s more about “how” than “if”.
I have a background in signal processing. If it were me I know I would be fully leveraging various DSP tricks in my product in order to get best results. What matters is if the DSP is applied wisely or not. The resulting sound will tell.