If you are talking big cities, then there are plenty of examples for high crime rate over the further out location. Unless the far location turns into development, then it's case by case.
When I talk about good location, I'm referring to more great locations. Places like Richmond, Port Melbourne, South Melbourne and Williamstown were all high crime etc. some time ago, and are all almost untouchable for the average single wage pricewise today.
I'm not from Sydney, but Redfern is my obvious example there. Cases can be made for all 5 km suburbs and up to 10 kms in Melbourne and Sydney, probably further out in Sydney. Not too sure about the rest of the capitals for distance.
So if it's long term hold and it's inner ring suburbs in the capitals, and you have the budget and can hold at least 10 years, I would say the high crime location.