[_iyig]

Indeed, this effect has been studied and documented:

https://www.iza.org/publications/dp/10306/silence-of-the-inn...

Per the study, crime among an illegal immigrant population fell post-amnesty in repose to increased crime reporting. Conversely, this implies that when members of a community report crime less often as a result of their immigration status - which the study finds to be the case - crime in those communities is higher than it would be otherwise.