or at least come with a strong warning label that it is actually the inverse of gravity's real geometry.

A stretching rubber sheet expands what is supposed to represent space-time when in fact gravity/time-dilation is analogous with shrinking space.

The reason a moving object is influenced by a gravity field is because it is finding a shorter/staighter path, not a longer one.

My analogy of time dilation,

An object is moving one foot per second in 'flat' (no gravity field) space.

Then it hits a time-dilation region where time passes only 1/3rd as fast as in 'flat' space.

So it seems to speed up & travel what used to be 3 feet in one dilated 'second'.

From the standpoint of inertia it still travels one foot per second but what used to be 3 feet has now shrunk down to one foot (in the gravity field) & it is following that shorter path, which is why it veers towards gravity.

So the actual geometry of gravity is functionally a shrinkage of space, a dilation of time.

I realize our (at least my) brains can't even understand how orthogonal 3D space can even shrink, but functionally that what it does.

In my mind/imagination i reflexively try to grasp gravity with that darned completely misleading illustration stretching/expanding space-time when factually some opposite hard to comprehend space-time shrinkage is what i need to work/imagine with.

It is very aggravating.