In a self-contradictory theory you cannot conclude anything from a contradiction.
> So, is every natural number in the Union of the List of each, every, and all FISIONs? > Yes.
Is every FISON lacking a set of aleph_0 natural numbers? Yes. Are there two FISONs which are not in the well-order of all FISONs by inclusion monotony? No. Can a union over two FISONs supply more naturals than are in one FISON? No
Why should these statements be less true than yours? Because yours are historically older?
The two statements: 1) Every natural number is in some FISON and 2) Not every natural number is in some FISON are both of same truth-level.
None of them excludes the other because the theory is self-contradictory.