Almost everyone who could afford to leave Detroit has left by this point. https://en.wikipedia.org/wiki/Demographic_history_of_Detroit...
You would be hard pressed to find any decent apartment within a mile of downtown for less than 1k/mo. Many nice apartments in downtown go for $2k - $3k. I personally would love to live downtown and many of my peers share the sentiment, there just needs to be a larger supply of apartments on the market.
Do I want to live four miles away from Detroit in a run down neighborhood? Not particularly- if I'm already getting into my car to drive to work, why not go a few more miles away into any one of the nice suburbs that surround Detroit?