We already manufacture and distribute paper products on an immense scale even without it being a national (or global) emergency. Again, according to that TWiV

We already manufacture and distribute paper products on an immense scale even without it being a national (or global) emergency. Again, according to that TWiV episode, making the tests is not much more complicated than just printing some antibodies on pieces of paper. It could definitely be done, we just need the will to do it. A Manhattan Project for testing could have saved hundreds of thousands of lives and probably trillions of dollars.