In "The Unintended Consequences of “Ban the Box”: Statistical Discrimination and Employment Outcomes When Criminal Histories Are Hidden," Doleac and Hansen recently investigated this issue by examining the outcomes in about one hundred jurisdictions enacting these policies over the 2004-2014 period.
We find that BTB policies decrease the probability of employment by 3.4 percentage points (5.1%) for young, low-skilled black men.
The term for this is "statistical discrimination" because discrimination is statistically related to the characteristic you want to screen out. The irony is tragic, because as the policy harms the group it was intended to help.