It's really not confusing with the martingale on. The martingale is meant for english-type riding. It encourages the horse, along with the bit, to keep its nose in, while the side check helps it learn to keep it's head up. I did notice the horse has a snaffle, which is very common when using this combo, so that's good to see. I was worried there'd be some kind of double bridle action going on - that would concern me. Otherwise, there's really nothing bad going on here and no confusion if the rider knows what he/she is doing.
The wind of heaven is that which blows between a horse's ears. ~Arabian Proverb