I can find articles on the internet that say black people are naturally suited to be slaves.
The key is in which articles you choose to present in your thread, that's going to determine the focal point of the discussion and what frame of mind people are going to enter the discussion with. In this case, we are entering with a frame of having to justify why immigrants should be allowed life-saving health care, forcing people to provide arguments for something that is inherently subjective and hard to prove. This is the case even for citizens. The argument for why I personally deserve healthcare for example, is really even here quite hard to make.
Furthermore, by forcing the question of whether or not immigrants deserve this, the implicit concern is raised, that maybe immigrants within the country should not be given lifesaving treatment if they're ill. Maybe we should just let them die.
Even getting people to entertain the notion seriously in a discussion forum, I think is unethical framing. This is not a question any reasonable person should be asking themselves. There are more important ways to be talking about healthcare, than whether it should be denied to immigrants.
Further skewing the perspective is the fact that OP only presents the sides of reality which would lead someone to not favoring immigrants, further pushing people towards coming to the conclusion, that indeed immigrants do not deserve healthcare. If we like OP believe that undocumented immigrants should be placed in indentured servitude and summarily deported if they ever show up in a hospital with an injury and are unable to pay, we're not many steps away from literal slavery, white supremacy or ethnonationalism. And threads like these have the potential to slowly nudge people in that direction. We've seen that happening on /pol/, we see it happening on youtube, and we can see it happening here right now, I think.