We stir, mix, knead, and blend all the time when we’re cooking (or painting, for that matter). We do it to produce uniformity, homogeneity, smoothness, and so on. If you want your pea soup with lumps of ham, and maybe carrots, in it, don’t put it through the blender. If you want a marbled loaf of bread, don’t stir the two batters together too much; just enough to get the fractal dimension of marbling you want. If you want nice smooth gravy, blend it.
If you want nice scrolls and whorls in your Belusov Zabotinski reaction. don’t stir it. If you want a nice smooth martini, stir (or shake) it.
If you don’t want a uniform sea of blank faces in your classroom, don’t impose a system of homogeneity producers in your prerequisites and in your required assignments.
If you want the distinctiveness of your state to make a difference in a presidential election, elect through an electoral college, not a nationwide popular vote.
Everywhere and always there are reasons and pressures to stir, mix, knead and blend, and reasons not to do so. A humble epitome of the nonlinear dynamics we live by.