Oh, yes, sorry. If by the correlation being possibly-undesirable you meant that it was possibly-spurious due to incompletely controlling for some bias in the source data, then yes, conclusions based on a model which found such a spurious correlation caused by incomplete input control might be undesirably biased in a not-accurate fashion.
This study appears to have done a good job controlling for known biases that could have been proxies for race, but it is presumably possible that they missed something and tainted the data