I’m asking why as a country, a state, or a community anyone would want illegal immigration

I think you’re already there but the illegal immigrants are here because corporations benefit from the desperate cheap labor. Both parties largely turn a blind eye to the trickle and talk and talk about what to do. I’ve yet to see a proposal where corporations or their leadership face consequences if they’re found to be employing illegal immigrants.

I totally agree with your take on how deportations don’t help.

To play both sides, a lot of immigrants choose to work here for low wages in order to send money back to their families from their home country. They endure horrible conditions and don’t expect much social mobility. Their families usually come from countries hurt by neo capitalism so I get why rekorse criticizes their role as being morally dubious for the citizens of the host country.