“There is a strong case that gravity doesn’t actually pull. Rather, it is actually a “push” force.”
There’s no strong case, in fact quite the opposite, which is why physicists abandoned that idea at the turn of the last century.
Would you like to show us where Haisch, Rueda are mistaken in their proof for F = ma can be rewritten to show the zero point field is actually the source for inertia? I’ll link you to the Physics Journal articles again, if you wish.
Here's a taste of Haisch, et al:
"...But inspite of these two limitations, our analysis yielded a remarkable and unexpected result: that Newton`s equation of motion, f=ma, regarded since 1687 as a postulate of physics could be derived from Maxwell`s laws of electrodynamics as applied to the ZPF. This implication is not an innate property of matter, rather it is an electromagnetically-derived force (or quantum vacuum derived force in a future more general derivation).... (4) Relativistic rest mass: the relationship of the mass of a body and the total energy available by perfect annihilation of the mass in the body, that is expressed in the E=mc^2 relation of special relativity.
... One can imagine a universe, for example, in which inertial mass m_{i}, and passive gravitational mass m_{g} were different.... but then objects would not fall with the same acceleration in a gravitational field and there would be no principle of equivalence to serve as the foundation of general relativity.
... In other words, if one begins with Maxwell`s equations as applied to the ZPF, one finds from the laws of electrodynamics that f_{r}=-m_{zp}a and thus if one assumes that the electromagnetic parameter m_{zp} really is the physical basis of mass, Newton`s third law of equal and opposite forces f=-f_{r} results in a derivation of f=ma from the electrodynamics of the ZPF. That being the case, one can, in principle dispense with the concept of inertial mass altogether. Matter consisting of charged particles (quarks and electrons) interacts with the electromagnetic ZPF and this yields a reaction force whenever acceleration takes place and that`s the cause of inertia."