If I asked you to help me with something, and you said no, and I proceeded to scare the crap out of you and chase you until you gave up, would it make you want to work with me? Or would it just make you do what I wanted so that you didn't have to run? Horses always have a reason, that is part of the mystery that is so interesting to solve. It is either that the horse has never learned the skill of being caught by a human, or that horse has allowed itself to be caught and they decided that whatever the person had to offer was not worth it.
Arabians are notoriously smart, and remember that an intelligent horses first instinct is self preservation. There are many physically compromising issues that people present on horses, the horse decides it would rather not deal with this, and then they become hard to catch.
Properly catching the horses mind will virtually eliminate other problems. One feral horse that I worked with took one month to easily halter and lead, and that mare never batted an eye for tieing, vet, farrier, trailer loading, or any other basic handling skill. This was also a notoriously hot blooded horse breed that even the vet couldn't believe how relaxed she was for her first vaccination and trim.
We can't just look at a problem as a problem, but as a starting point, if we bypass the root of this problem, then there will be more individual problems to hurdle.
I want to offer the horses a feeling of comfort and trust, not fear. I have tried both, I have chased horses multiple times, and I did halter them, but I still hadn't completely caught them. When I found another option, and found that it made my life easier, I took it.