If you go barefoot you can use the boots of your choice. I use Boa's currently and love them. If I am riding in soft ground I don't use them but on my backroad I often do as their hooves aren't accustomed to that surface.. I never intend to go back to shoes.
Edited because I forgot to add this. I understand the mud isn't pulling off the shoes but rather slowing the front hoof from getting out of the way of the hind and so they get stepped on and loosened/pulled off that way. Boots are not meant to be used with shoes.