When the Jupiter 2 warped thru the Sun, it caused a Coronal Mass Ejection that killed 200 million people on Earth and in Earth Orbit. The survivors went after the Robinson family to prosecute them, not to rescue them.
shareHuh?
Where did you get that idea?
Suspension of disbelief: Yes. Suspension of logical thought? I'll pass.
The entire Earth population was going to suffocate in 2 decades time. That's a hell of a lot more than 200 million people.
Even if your crackpot theory somehow turned out to be right, I really don't think they would go after their ship to bring them back and drag them in front of a judge. They had a hyperportal to build, remember?