I don't think that's clearly the meaning of the quote. Nor do I think that was Melinda's point.
Here's the quotation [from The Kennedy Imprisonment
] whose meaning Stephanie and I dispute:
Theodore Sorensen vouched for the fact that ‘[JFK] cared not a whit for theology.’ Jacqueline Kennedy told Arthur Krock: ‘I think it is unfair for Jack to be opposed because he is a Catholic. After all, he’s such a poor Catholic. Now if it were Bobby: he never misses mass and prays all the time’
Within the diavlog, Melinda Henneberger suggests Jon Huntsman--once he decides what religion he is--'would be hurt by taking the Kennedy line from 1960, remember, when Jackie Kennedy said to a friend, ‘It’s so unfair when they hold Jack’s Catholic faith against him when he’s such a poor Catholic
IOW, Henneberger wasn't really making any point, with the allusion: No participant could conceivably be suggesting such an option to Huntsman, nor did Kennedy himself employ the narrative as any candidacy-advancing meme.