My view is it isn't about race but rather the character and background of the renters. If they are frequently changing jobs or temporarily unemployed it's more likely they'll be a problem. If they are permanent renters-- that is they are renters today, next year, and for most or all of their life, it's more likely they'll be a problem.
People who aren't owners in society have little stake in society. The saying goes, The man that owns the boat rarely has time to rock it. Renters and those of marginal employability are more likely to not care about their or anyone else's property or rights.
Then why the anecdote about the black neighbor? Why was race important to the story? Answer: It wasn't. The biggest problem we have is when the property is vacant. Fortunately, most of our renters are people with families, and the turnover hasn't been high. Only in the last few months have we had issues with people paying rent, for obvious reasons, but not one tenant has been uncooperative about working with us. I would agree that this is tied to socioeconomic status not race. But even that hasn't proven to be true. All of these houses are in urban areas that are largely black. We've had a few problems with unkempt lawns, but I doubt that's any different than any other area. I see that in my neighborhood too.