Some are barefoot and some are shod. It seems to me that most of the competition horses I saw did have shoes on, but I wouldn't be surprised if some were shown barefoot.
It's a very interesting breed which I learnt about a few years ago. Personally I think it's sexist to roach the mares' manes. If I had a andalusian mare she's have a full and beautiful mane! Just like a girl should!
Thank you for writing so quickly after your trip. It is great for the breed and always interesting for me to hear about the Marchador from a different perspective as I have owned and loved the breed since 2001.
I am more impressed with the minds of my Marchadors than their beauty. Such a lovely breed who are eager to please.