Events don't move. If they did, there couldn't be 'invariant intervals'.
Events fixed in space are equivalent to a 'fixed ether', and why SR works without an ether.
In the 1920 speech at Leiden, Einstein was in favor of an ether for GR, but without any special properties such as those defined for the ether of 1900. He also reconsidered electromagnetic fields as a fundamental form of energy independent of a medium.
The Lorentz ether is another example of human analysis interpreting new things in terms of known established things. A plumber could describe electricity in terms of fluid dynamics, but that doesn't mean electricity is water. Reminds me of a slogan, 'bricks are not made from smaller bricks'.
Oh but there are special conditions for the gravitational aether - and in a way, we are only just starting to understand them. For instance, we now know that gravitational waves do not propagate at the speed of light when such a medium is considered - the dilation of the gravitational wave differs to electromagnetic radiation and this has been detected a number of times through the Sagnac effect.
We also know now that light can escape a black hole, because the speed of light can only approach zero speeds, never actually reach zero - solving the information paradox. We can't always take quotes from the giants of the past for absolutist statements, or physics will never progress. There is an importance behind a gravitational aether, I think what worried Einstein was how to prove it. In a sense, today, we can in a number of ways.