I don't remember hearing Frontex or national coast guards completely ignoring sinking ships

Are you serious? Or do you mean to say you did not hear about them ignoring ships since they are usually watching them drowning or even actively trying to sink them?

They came to this land from so far away, hearing promises of how great it is, and then they live worse than they did back home.

Ahh, so you are just helping them by denying basic human rights of seeking for asylum and a better life. That's too kind of you.