Greg
And I'm sorry in advance to be petty, but I just hate the paper liners in the lids. They drive me batty.
Maybe this has been suggested before but when the paper gasket begins to fail I remove it and replace it with one made from soft plastic. I use food container lids. A lid from a cottage cheese or sour cream container for example. Use the paper gasket as a pattern and trace around it. Cutting it out with scissors gets you close enough. Thicker, softer plastic is best.