It did not solve any of the problems you mention. In fact, it introduced a new set of problems where some number of students (and parents) at every school would conclude that the grass is greener on the other side of the fence no matter what. Most of the students who switched schools struggled to make friends or were frustrated that the switch didn’t automatically solve their social problems.
In retrospect, I realize I learned a lot about social maturity by staying one place with a semi-random group of people that I had to learn how to work with.
What do you think the reason was?
That said, bullying doesn't seem to be any less or more at DPS. Some quick googling seems to show a few cases of 'extreme' bullying in the local news, but nothing I can really point at to say the bullying is less or more. In the absence of really any stats or evidence, I'd assume bullying is probably the same as in other large metro districts.
My other cousin had a similar problem, his mom switched his school 3 times and in the end he wanted to go back to the first school. In the meantime, he fell way behind in his learning.
As long as kids get arrested if they don't attend the prison analogy applies.