I'm not quite sure of your question. I believe inbreeding depression is basically the opposite of heterosis or hybrid vigour, when a cross is inferior to its parents although there's mo[r]e to it than that.
Inbreeding depression is caused by "doubling up" of bad genes, the same way but opposite as the way heterosis are caused by "diluting the genes".
We want to make the plant homozygos when it comes to the desired traits (that's what 'stabilizing' is all about) - but how do we avoid inbreeding depression when our goal is to inbreed/self pollinate our peppers and thus also make them homozygous for less desirable traits? Hope for the best and (hopefully) kill the plants that don't perform as we wish?