When I bought Chancer he came home with nothing on. He now wears some stable wraps - more to keep the hair clean as he travels well and has a lot of hair and no shoes. Ditto the same for our clydes.
When Farra came down from Scotland she travelled with nothing on.
I have been told best to avoid anything on young horses.
My WB mare hated anything other than a pair of brushing boots and knee boots (she was a liability) when travelling.
I personally have found my horses prefer to have nothing or minimal boots/wraps when travelling. Put the huge protector boots on and they are not comfortable, get too hot and are generally unhappy with having them on and travelling.
However, I do appreciate some horses do need a lot of protection.