Another good question --- how many of us need guest workers? I don't. I also don't need to pay for the education and free health care of someone else's.
If someone can't afford to get their cheap yard-boy a health insurance plan --- or pay him wages high enough so he can pay his family's health care costs ---- then why the taxpayers have to provide subsidized labor for them?
An awful lot of the "work" being done by illegals isn't going to be a loss to anyone at all if it doesn't get done. If my neighbor's leaves don't get raked --- so what? Ir your neighbor's beds don't get made and he has to do his own dishes --- big deal. If someone doesn't have a cheap but uninsured live-in nanny and has to take their kids to a day care --- no big loss.
Self employed domestic stuff is a very small fraction of it. I have no figures but this is based on what i see regionally.
In the south, it is mostly all farm labor, civil construction and forestry. In other areas it is much the same with some areas having more restaurants, gardening and landscape work.
Much of the janitorial stuff in contractors and I suppose I should not forget the migrant tomato pickers , fruit pickers and others.
I would say, the majority is in agriculture.
Miss them?
In Arkansas, it would be devastating to our only industry, which is trees, chickens and rice, cotton and soy.