“Nihil obstat” means, “Nothing observed [that is contrary to faith.]”
“Imprimatur” means "It may be printed. Imprimi postest means basically, “Recommended for publication.”
However, it does not follow that those granting any of these mean they personally agree with conclusions or opinions of the author. I’ve seen this disclaimer used in the past.
Consider this: There are several books I would recommend people to read, though I don’t agree with everything the authors might have said or done, but I think the reader might find something in the books worthwhile.