I'm with Alpha.
In PT I have started using a sample increment delay plug in "Time adjuster" to do this job on elec gtrs... There must be one in DP, Logic & VST etc too.
with 4 sources (JMP1 di, VALVE FX di, AMP & mics) routed to AUX inputs in the DAW - we piped out pink noise and tweaked around till there was as little phase shift as possible between all the elements.. the resut? That all faders of the guitar sound sources had pleasent ADDITIVE signal, NONE caused phasey 'loss' when blended in. These tracks then fed an internal digital bus that could be picked up by a track(s) and recorded to.
Surely the is the same?
Alpha on our DAWS our option IS a 'time machine' WTF is it in the Little Labs box I wonder?
I will see if I can get Herr Little to comment here.