Stearic acid, since it is a fatty acid, not a fat, will react instantly with lye and thicken the soap batter within seconds.
Like beeswax, stearic melts at a much higher temperature than regular soaping fats, so there is also the issue of getting it melted and mixed into the batter properly.
If you want a higher stearic content in a specialty soap, such as a shave soap, then added stearic may be necessary. But I'm with Seven -- I would avoid it for regular soaps.
That said, I prefer to formulate my soap recipes so they are hard enough to unmold easily without the use of additives.