Groups that aid and support immigrants are doing a service that benefits America and all Americans; we should give them money so they can continue to help.
Immigration is of benefit to most nations; we are no different. But if and when you call immigrants illegal aliens, you're removing an important distinction and distorting reality.
Have you ever seen an immigration application? Ever examined the regulations that legal immigrants must navigate?
Legal immigration is a quagmire, but some would rather turn away from the swamp rather than drain it; some would like to pretend that immigration is the same thing as invasion, to justify the lazy approach that groups everyone together in an alien blur.
Changing labels doesn't change reality. The complaint revolves around groups that are supporting people who are not attempting to go through legal immigration channels.