Denti:
Increasing power on the remaining seems like good sense. Until you have to deal with fixed derates and the associated effects. Are you sure your full thrust Vmca is below your fully derated V2? If not you certainly will live (very short) in interesting times after advancing the remaining engine to full thrust. Boeing advised us that using the Boeing performance calculation tool we should not advance any thrust levers until we go to MCT if using fixed derates, which we do nearly every single take off (combined with assumed temperature of course).
When I did this we changed V1 for derated thrust, but V2 was never changed.