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Responses collected from other people from various places
Immigration and the Welfare State: Immigrant and Native Use Rates and Benefit Levels for Means-Tested Welfare and Entitlement Programs
https://www.cato.org/publications/immigration-research-policy-brief/immigration-welfare-state-immigrant-native-use-rates
https://archive.fo/bPm28
The methodology here is a joke. They said when they looked at a family of 3, with 2 illegals and 1 naturalized child, and when only the child 
    received aid (like SNAP), they'd count that usage towards all 3 people. Of course "immigrants" use less services if you trick around and skew the 
    data like this. And that's not even all they did, that's just the first thing that jumped out at me. 
If you're too lazy to find the relevant passage in their methodology: 
>"For benefits delivered at the household level, the CPS data do not allow us to discern the immigration status of the intended recipients for 
    children who live in households containing both citizens and noncitizens. As such, we assume that these benefits are split evenly among all 
    members of each household in order to determine the value of benefits per individual". 
So no, your claim is wrong. It's about as useful as saying "illegals use less welfare than natives". That's because they physically can't. We're 
    talking about the ones than can, and do.
------------------------------------------------------------
study:
Immigrants' and Native Workers: New Analysis on Longitudinal Data
https://www.nber.org/papers/w19315
https://web.archive.org/web/20181124104215/https://www.nber.org/papers/w19315
response:
https://mobile.twitter.com/heywildrich/status/1066118937451081728/photo/1
https://archive.fo/LXi1J
bonus response 
that study he's talking about examines the years '91 to 2008
that's like nearly a decade before they took in a mass of refugees anyways
paper added:
https://sites.hks.harvard.edu/fs/gborjas/publications/working%20papers/BM2016.pdf
https://web.archive.org/web/20181124104856/https://sites.hks.harvard.edu/fs/gborjas/publications/working%20papers/BM2016.pdf
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A recent paper that Borjas helped contribute to:
“The contribution of foreign migration to local labour market adjustment”
By Michael Amior, November 2018
http://***.lse.ac.uk/pubs/download/dp1582.pdf
Finds a significant crowd out effect and moderately negative impacts on native employment for the US
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