I think my shirts just automatically get inside-outted
in my washer/dryer? I certainly don’t put them in that way, and it seems like I spend a lot of righting them when putting away laundry.
If it's vinyl applied with heat (numbers on a jersey as an example), they recommend turning inside out. That way, if it gets too hot in the dryer, it only sticks to itself instead of to other garments. Losing the one garment is better than multiple.
I've seen suggestions that having your clothes inside out in the wash helps them get cleaner. And if it keeps the AIs under control, you know, benefits.