In reality, the Tyvek is redundant. The whole hinge package is only as strong as its weakest link, which is the P-90 tape.
The idea of any hinging of art is for the hinge material to be weaker than the art. If a frame is dropped or jarred, the only thing that will tear will be the hinge and not the paper the art is on. If you used a heavier fiber tape then you can be sure that the art will tear and the hinge will be intact.
My theory is that somewhere in Bill's past, someone showed him how to hinge using Tyvek and P-90 and that is what he is doing.
It is perfectly fine to use the P-90 for both parts of the hinge.