Maybe in 50-80 years.  Nobody has successfully implemented a 32 bit adder using reversible computing.  If you think quantum computing is in its infancy well reversible computing hasn't even been born yet.  Despite the theory being published in 1973 to date there has been pretty much no practical demonstration of implementing the most trivial of reversible circuits.

Part of the problem is that the circuit must be very insulated from the outside environment in order to remain reversible.  To date this means a lot of very expensive near zero superconductors but even esoteric problems like a stray cosmic ray striking your circuit can leak to large scale leakage.  To say the future of mining obviously involves reversible computing is sort of like suggesting Honda should stop researching hybrids and start researching hyperdrives because obviously on a long enough timeline some form of faster than light travel is an obvious requirement for a spacefaring civilization. There is a lot of potential improvement in classical computing.  We something like a million times less efficient than the thermodynamic limit.  

Also as Peter points out there is still an energy time tradeoff.  If I gave you today a reversible miner which ran on near zero energy but had a hardware cost $10,000 of per GH would you be interested?   If the technology is more expensive on an amortized per hash total lifecycle cost than classical computing well it doesn't really matter how little energy it uses.