Just one thing, I think the soap should be kept wrapped in blankets up to hold in the heat until it quits being exothermic, until the saponification reaction completes. That's why we wrap the mold in blankets, to keep it warm, because chemical reactions proceed faster when the temperature is higher. I've been playing around lately with leaving a remote reading oven thermometer probe in close contact with the mold so I can see what the temperature is inside the mold. I prefer to leave the mold and soap covered by blankets until I see that the heat is dropping back towards room temperature.
Other than keeping in the heat I can't see any problem in unmolding as soon as the soap holds its shape through cutting.
Or is that wrapping the mold in blankets another of those "myths" perpetuated by out of date books?