I have no idea how the Cherokee live, but I grew up next to the Navajo reservation and for the most part those that live there choose to do so because they want to follow traditional Navajo life. Many do not have electricity or running water.
These videos explain the issues.
https://www.youtube.com/watch?v=CIuptGC3b8A
https://www.youtube.com/watch?v=XvWHDpv-qOk
Most Indians in Oklahoma live like modern, normal people. There are health issues but non-Indian Oklahomans aren’t too healthy either.
I lived at Farmington back in 1954-1956 and 1973-1977.