Why do you say it is a myth?
"63% of Non-Citizen Households Access Welfare Programs Compared to 35% of native households"
https://cis.org/Report/63-NonCitizen-Households-Access-Welfa...
"The Center for Immigration Studies (CIS) is an anti-immigration think tank. It favors far lower immigration numbers, and produces analyses to further those views. The CIS was founded by historian Otis L. Graham and eugenicist and white nationalist John Tanton."
[1]:https://en.wikipedia.org/wiki/Center_for_Immigration_Studies
Do you have another source? I am not so convinced by this source.
There is a link to the SIPP in the endnotes of the page. The SIPP is from the Census Bureau.
If you care about free markets or a smaller state, but not the free movement of labor at the same time, you are holding hypocritical beliefs.
Every nation on Earth has border restrictions of some kind. Though recent in human history, such restrictions clearly have utility and value in the modern world.