But for 90% or more of the things people do in DAWs (and currently want to do in DAWs), current processors can already do it fast enough.
So the sort of innovation your dreaming of/imagining isn't going to come from new algorithms - it's going to come from people wanting to do new things.
This is already happening to some extent with things like timbral transfer, but even there, the most important part of it is well within current processing capabilities.
> Come on, we need some new algorithms
If you don't have a "why", that doesn't make much sense. Start with "Come on, we need to be able to do <this>" and then (maybe) the algorithms will follow.
Necessity is the mother of invention, but so is desire. What do you desire?