Few countries have jus soli citizenship. Even many countries regarded as relatively open and welcoming would not permit locally born minors to stay indefinitely if their non-citizen or non-PR parents lose grounds for residency.

IF those children live according to the laws of the land, speak the language of the land, don't espouse views which directly go against the culture of the land and ended up becoming self-supporting there certainly is a good case to be made for them to be allowed to stay in the land.

If they don't speak the language because their parents actively kept them from integrating into the land's culture which they (the parents) consider to be bad in some way, they (the children) violated the laws of the land and have well-filled rap sheets, they go out of their way to voice their dislike of the culture which allowed their parents in and they live on welfare because working is for 'svenner' they are very much invited to leave on the first ship or train of plane whether they like it or not.