@Avira,
Teaching girls and women gemara is like a galaxy away from negiah in the sense that negiah is an actual direct aveira. I know of plenty of MO Rabbis who encourage (or at least don’t discourage) women learning Gemara. However, I never heard of any discouraging negiah or saying that filters aren’t necessary. I seem to recall that “Shomer Negiah” is a huge campaign in MO circles with Rabbis and teachers encouraging their students to keep it.
Lemme as you something: What would you rather? A small patch of thick mold in your house that’s the remnants of a much larger infestation that’s currently shrinking, or a large patch of near-invisible mold that doesn’t look as bad but is rapidly growing?