There are accounting issues.
In the USA, the federal government hopes for increases in FICA tax revenue via immigration to support Social Security.
The federal government doesn’t see or have to pay the increased property tax retirees and others must pay as a result of immigration.
To avoid an $2,700/year Social Security cut by forcing an $1,500/year property tax increase doesn’t really improve the retiree Social Security situation since property tax is paid for many years after one’s kids graduate and before one takes Social Security.
And other issues:
Immigrants should possess above average earning ability, be culturally compatible and well-behaved.
Hauling in the world’s trash and disagreeable people will impede the importation of high-quality immigrants at some point.
High quality to steal our grads jobs? Legal immigration is killing us also.