Were the anti-segregation movements useless?

It is of the popular opinion that racial segregation officially ended with what the civil rights activists “achieved” in the 1960s, but I fail to see the purpose of these “achievements” when they can easily be circumvented by relocation and privatization.

For example, I researched demographics of random neighborhoods and found that there were a lot of neighborhoods with only 1 main demographic. A 90–100 percentile. This means that the employees and employers, neighbors, local voters, and schools in that neighborhood are all filled with that one demographic. I found the same case with wealth segregation.

Interestingly enough, even cities that are considered to be the most diverse in the nation are actually also the most segregated. New York City is one example of being one of the most segregated cities in the nation while also being considered one of the most diverse.

What do you think?