Your definition of spacetime seems different from GR then. I think the GR notion is that natural motion through space follows the curvature of spacetime which is determined by matter/energy in accord with the EFEs; in GR there is a resulting natural geometry that determines the amount of curvature based on the amount of matter/energy that is influencing the body that is moving through the spacetime in that location.This isn't strictly true, in that you could place light-clocks in an equatorial plane around the Earth, and plot the readings. The lower clocks go slower, and your plot exhibits a curvature. You can observe this. That's what curved spacetime is. But it's a plot, a "map". Space isn't curved. There's a curvature in your plot of motion through space over time. Gravity is of course directly observable in that you can drop a pencil, or see that light curves when it skims the Sun. The issue is one of cause and effect. Markus is effectively saying the lower light clocks go slower because your plot of light-clock rates is curved. That's wrong. Those lower light-clocks go slower for a reason, but that isn't it. **
Einstein did say matter/energy "conditions the surrounding space". It alters its properties. It doesn't curve it.
When you say the presence of matter/energy alters the properties of space, you are referring to what GR refers to as curved spacetime, aren't you, but you are denying the natural geometric cause?
Though you say you are on the spacetime side of the issue, you perspective of what Einstein's equations are defining is different, i.e. you refer to the elasticity of space instead of the curvature of spacetime. You see a difference between those two phrases.I'm on the spacetime side of the issue too, but I'm saying curved spacetime isn't curved space, it's just a curvature of your measurements of things moving through space. Using things like light-clocks. As for the mechanism, Einstein used the stress-energy-momentum tensor. See wiki. See the shear stress? The mechanism is essentially elastic. Like space is elastic. When you subject it to pressure you alter its properties. Note the energy-pressure diagonal. Imagine space is a big block of gin-clear ghostly elastic jelly. With some deft gedanken surgery you insert of sphere of jelly into the block. You've now got a pressure gradient all around the sphere.
I would say you aren't on the side of spacetime. You are on the side that says there is more to curved spacetime than just geometry; you are saying that the effect that your light clocks expose is caused by an effect that is readily observable, time dilation caused by the difference in the strength of gravity at different altitudes, gravitational time dilation. Isn't that what you mean, it is gravity that is affecting the elasticity of space?
I refer to that side of the issue as the "energy density of space due to the presence of gravitational energy density" side, instead of the "geometry of spacetime" side. That perspective is that all space contains energy density. That energy density is from a history of the motion of matter based on the gravitational energy that is a characteristic of the presence of matter. As matter moves it leaves behind the waning gravitational wave energy density that is expanding away from it at all times and that I think equates to the pressure that you refer to.