Cavendish is not an expirement showcasing gravity, only torsion of a rod or wire.
It is not true that the experiment showcases torsion, although minimizing torsion is a very important part of the apparatus. Building a device that has near-zero torsion is critical because the
force of gravity movement along geodesics due to small masses is incredibly small.
You can do the experiment yourself.When you compare multi-mass systems you are literally bending spacetime, as defined by Einstein. (In the Cavendish experiment, you are moving the position of masses, thus
manually bending spacetime.) Einstein also said that for non-extreme cases this is proportional to the masses involved.
Sure, gravity doesn't exist. But large masses such as the Earth (flat or round) bend spacetime significantly, causing a lot of motion along geodesics.
For some reason, many FE folks who hold Einstein up as the messiah of spacetime, in their zeal to deny gravity, insist that the Earth's mass have no effect on spacetime whatsoever.