Perfikot's toughness was not out of unreasonable arrogance, nor did she lack the time to properly explain and persuade the plantation owner of the situation.
It's just that Perfikot really didn't want to be troubled by such matters now, along with her disgust for plantations and the slavery system.
Whether in the original world before crossing over, or in this world, while enjoying the benefits of technological advances and productivity in technologically advanced countries, slavery remains prevalent in these colonies.
This is a very primitive and backward production system; never mind the fact that slavery itself offers no incentives for productivity, the mere inefficiency of production methods is enough to show that this should be an obsolete system of production.