I ask because turning the socks inside-out, over and over, seems fairly traumatic. I'd prefer to not strain the fabric over and over if it's not necessary to do so.
Potential strain and damage wouldn't be compounded by the washer or dryer as I'm hand washing my Viccel socks with white Zote soap (if you like the smell of citronella, it's wonderful stuff) and hang drying using Mawa clip hangers.
I think that wearing the socks in between your foot and your shoe while walking around for an entire day will be much more stressful on your socks than turning them inside out to wash them.
I turn all of my socks inside out to wash them, but put them inside a mesh laundry bag before throwing it into the washing machine so that the socks don't get tangled and stretched inside the machine.