We're talking mixes for the most part into an already mixed breed flock. Even among same age chickens hatched from the same hatch you find discrimination of breeds. I baby my Polish/silkie mix because a couple of the others will target her to pick on her. Bunch of brats. They are just jealous of her beautiful puffy "hair do".It also depends on the age, breed, and diversity of your existing flock, as well as living quarters.
If you have a flock of red sex links, as I do, and put Barred Rocks or Buff Orpingtons or Easter Eggers or anything that looks different than them, unless the new birds are really tough they will be persecuted perhaps to death. Yet I can take one or a few red sex links of different age and they have no issues as long as they don't run scared.
I find having a mixed flock of colors, ages, and sizes makes adding more less painful, as does integrating on free range where they can keep their distance.