Education isn’t the sole state and local cost either. You have housing, health care, transportation, infrastructure, etc. etc. Someone has to pay for those costs, and those are current local taxpayers , which reduces their opportunity - and that of their children - by reducing their net income. In addition, the K-12 system is often degraded by larger class sizes and children who require greater than average resources.
If you look at the U6 figures and the percentage of the population working, there are plenty of Americans available to fulfill unskilled jobs. We could create guest worker program for areas with actual shortages. Wages will need to rise a bit, but that would also result in lower safety net costs. That’s a net plus for the worker, and also for the taxpayer.