Yes, the main problem is the paper with bisphenol, which has been banned in Europe.
Even assuming that "BPA-free" paper I'd buy is really so, and not just BPA-covered one imported from China and said/labeled to be "BPA-free" by someone somewhere in the pipeline...
However, none of them say what their actual 'active ingredient' is and I am curious if these are necessarily known to be better. Most of them describe themselves as 'plastic coated'.