Rod Brownstein of CNN suggested that President Trump would use supposed bias against him to ignore the Supreme Court if he wins a second term.
Ginsburg, 86, was being evaluated for a possible infection.
"She knows her days are numbered...If you were that one super liberal Supreme Court justice, wouldn't you be trying to live forever?" Randy Corporon asked to chuckles from the crowd.
Applause swept through the crowd, which had begun to gather at 4 a.m. in order to secure entry to the event.
"There was a senator, I think it was after my pancreatic cancer, who announced with great glee that I was going to be dead within six months," Ginsburg said in a recent interview with NPR.
Melania Trump jumped seven places from her position in the same ranking last year, while Clinton dropped four places.
U.S. Circuit Court Judge Amy Coney Barrett, a socially conservative Catholic, has been menioned since late 2017 as a potential Supreme Court pick, most recently as a replacement for Justice Ruth Bader Ginsburg, should she retire.
Justice Elena Kagan, who wrote the dissenting opinion, called the majority's decision "profoundly wrong."
Former White House adviser Sebastian Gorka was among the Trump backers questioning her whereabouts.
South Carolina Republican Sen. Lindsey Graham worked himself into an angry-faced tirade on Fox News Sunday, even appearing to remove his microphone as he and host Chris Wallace ended the interview.
Supreme Court Justice Ginsburg is recovering from surgery after having two cancerous nodules removed from her lungs.
"Justice Ginsburg was discharged from the hospital yesterday and is recuperating at home," said Kathy Arberg, a public information officer for the Supreme Court.
Justice Ruth Bader Ginsburg underwent surgery Friday in New York City.
"Justice Ginsburg is very ill. Another Justice appointment inevitable and soon. Bad news for the left," O'Reilly tweeted on Friday afternnon.
Supreme Court Justice Ruth Bader Ginsburg had the two nodules in the lower lobe of her left lung removed at Memorial Sloan Kettering Cancer Center in New York today. The malignant growth were discovered incidentally, when her rib fractures were diagnosed and treated in November.
Supreme Court Justice Ruth Bader Ginsburg has said that her health is "fine, thank you."
Representative Ralph Norman of South Carolina mocked Ruth Bader Ginsburg's age, and sexual assault, in suggesting she was groped by Abraham Lincoln.
Felicity Jones will depict a young Ginsburg, long before she was a Supreme Court Justice.
The justice said she believed there was sexism at play.
This is not the first time Ginsburg has chosen to skip a Trump speech.
Justice Ruth Bader Ginsburg, a self-described "flaming feminist litigator," is ready to leave it all on the bench in the upcoming Supreme Court term.
The promise to block any Clinton nominee to the Court is a new low, even for McCain.