You never once twigged to the need to respect a simple hierarchy. Global restraints trump and constrain the possibilities for any seemingly locally allowable metric fields.
From the very first post #1, it was made crystal clear, the supposed physically real far-field transverse shear waves of GR - which is according to all mainstream authorities all that GR as a pure rank 2 metric tensor theory can allow - are absolutely ruled out by the need for global self-consistency.
The one conceivable purely metric perturbation based GW form not violating global self-consistency restraints would be longitudinal waves. I'm aware of only one attempt to derive such within what appears to be an attempt at reformulating GR as a scalar-vector theory:
http://vixra.org/pdf/1412.0258v3.pdf
Predictions are way too small to accord with data from various binary pulsar systems. G4v has no such issues bedeviling it. Which does not guarantee it's ultimate correctness, but gives it a flying chance.
But don't let any of above stop you from continuing to chorus along with paddoboy for a banishment of this thread!