My suspicion is that crimes of passion woud be the same. A fight due to an emotional issue, murder when discovering your partner in bed with another, those emotional moments which can lead to violence.
An illegal alien may even curtail alcohol to keep a clearer head, thus resulting in fewer crimes of drunkenness.
In Italy there is statistical evidence that illegal immigrants are overrepresented in terms of arrests/convictions. That being said, the data underneath is often hard to judge without bias. Police is more likely to arrest and investigate an illegal compared to a local. Other factors include weighting for age and other socio economical factors.
Illegals are often young adults, male and financially weak: exactly the demographic that is more prone to crime regardless of its ethnical background or nationality. When you normalize for those factors you find out that illegal immigrants are not statistically likelier to commit crime than young Italian unemployed males.
Data is difficult to collect and even harder to analyze, and you can twist data to tell you what you want to hear. In order to really shape legislative action you need to invest in data collection and analysis first.
The study doesn't mention repeat offenses, so I can only assume they sampled both first-offenders and repeat-offenders. If illegal immigrant offenders get deported rather than jailed, the statistics would be lower than if they were sent to prison and allowed to return to crime afterwards.
The 1 % of the population accountable for 63 % of all violent crime convictions: https://pmc.ncbi.nlm.nih.gov/articles/PMC3969807/
Personally I think immigrating to the US illegally requires a level of social skills and level headedness that is negatively associated with criminality.