We wash most things inside out in cold water so that they don't fade, and then turn them before putting them in the dryer, so that the lint comes off the outer surface properly, though I don't turn out anything that has vinyl decals.
The exception that must be washed right-side-out are my DD's "blacks"; her required skating team practice clothes, which as the nickname suggests are all solid black. We happen to own a white cat. DD loves the white cat, and her blacks pick up white cat hair. Due to the nature of the fabric they are made with, washing them inside-out leaves clumps of mixed cat hair and lint stuck inside them, and even turning them for the dryer isn't enough to get the white clumps off once they are there. If I don't want to have to take a lint brush to them each and every time, they have to be turned before washing.