The value in pointing out their fakeness is to make sure people don't get misled about their realness. People are still trying hard to prove the Shroud of Turin real [1], and until that's a dead argument, we should always be clear about the truth.

I do agree that it's worth keeping the fakes, though. If the Museum of The Bible were bigger on "museum" than "bible" this would be a great centerpiece for an exhibit on the long history of profitable religious forgeries.

[1] https://www.sciencemag.org/news/2019/02/researchers-hung-men...