It means that the argument that we are paying out money to adult illegal immigrants is not factually correct, so to me, it isn't a problem to solve.
I don't know why allowing more immigration is equated with an open border. I'm all for orderly immigration through specified checkpoints but i believe the vast majority of people trying to get in are just like every other wave we've had and absorbed. I haven't seen any indication they are different.
Orderly entrance through checkpoints, keep out the criminals and terrorists, but I bet that means letting 90% of them in. That's not open borders. That's what we've done here for centuries.