Fine, I won't split hairs with you.
However, for a lot of small COC members, like roofers, lawn care, pool cleaners, domestic maid services, etc., having them remain illegal means you have leverage over them. When they get too uppity for the business, they can threaten to call CBP on them. Works all the time.
These are the "Americans" who don't want amnesty, nor enforcement.
First, it is illegal to knowingly hire illegal aliens to work. Employers who do are subject to penalties under the law. Calling ICE can be a double edged sword for the employer.
Do you know who also uses this argument to support amnesty rather than object to it? The Dems, unions, and other open border types who lament the exploitation of the "undocumented." They want the "undocumented" legalized so they can be treated fairly as well as to be taxed on their earnings. Businesses, large and small, want a surplus of labor, legal or illegal. It depresses wages and increases the profit margin. Many businesses object to making mandatory the current voluntary e-verify system. They are joined by libertarians who believe in the free flow of labor, even across national boundaries. The UN is making migration a "right."
Business is joined by the Dems, religious, labor, and special interest groups in keeping the inexhaustible flow of cheap labor unimpeded. They also want to bring in skilled and educated labor to do jobs Americans can't do in addition to unskilled labor to do jobs Americans won't do. This is wiping out the middle class. It is why Trump's immigration and trade policies represent such an existential threat to the current system that involves trillions of dollars.
These are the "Americans" who don't want amnesty, nor enforcement.
There are millions of Americans like me who don't want amnesty, which would destroy this country with the stroke of a pen. It was estimated that just providing amnesty to 12 million illegal aliens would cost $6.3 trillion and result in 66 million more legal immigrants joining them as part of chain migration, i.e., family reunification. And it would just hasten the process of making the Dems the permanent majority party. Even if all illegal immigration were stopped today, keeping the status quo on legal immigration will make the Dems the permanent majority party within a decade.