"...with hot process a week is all you need..."
This is a long standing myth that many HP soap makers refuse to let die.
Hot processing only shortens the saponification time, not the cure time. Since you use more water typically in HP soap making compared with CP soap making, the cure time can arguably be longer for HP than for CP.
I prefer to cure my shave soap the same length of time as my bath soap -- KiwiMoose is right that you want to make sure that shaving soap is well cured before you use it, due to it being used on delicate facial skin that may also be somewhat irritated by shaving.
Be careful about heating your fats that hot and then pouring in a cooler lye solution. This puts you at higher risk for having a steam explosion -- if the conditions are right, the lye solution boils and produces steam, and erupts through the hot fat, spattering hot fat, steam, and liquid lye solution all over. Not saying this WILL happen, but it certainly can and has happened -- people report this kind of accident from time to time.