Jim Roseberry
After the performance is recorded, a look-ahead algorithm could be applied/manipulated "in real-time". 
idk Jim... the whole idea of pushing or pulling the rhythm to alter the tempo is that the other musicians respond in real time. Adding push or pull later to suggest that... well we all sped up b/c of the drummer that wasn't playing when we recording the guitar parts is kinda weird, no?
I do think it would be cool to be able to have a separate tempo map for each instrument maybe and to adjust how they overlay each other... maybe moving the drums to line up with the guitar better by adjusting the drums tempo map rather than moving beats a bit here and bit there... you could line the drums up with the bass, but let the guitar lead the beat a bit even as the tempo increases. or the other way around as it decreases.
Possibilities are limitless.
Of course, I think of R&D as Rip-off and duplicate when it comes to concepts for mapping tempos. Everyone has been mapping tempos forever. I guess I'm just left scratching my head on why this company gets to say 'no one can follow us for 18 years' because their idea is so original. Is it really that original?