Dan,
Your first paragraph is spot on and I've made that point as well, that there is an equilibrium state to space and we could find it by finding the state at which a clock runs fastest.
As you point out though, this "metabolic rate" is an effect of activity, like temperature and so it means time is not a dimension interchangeable with spatial dimensions.
If redshift is a function of the wave of light dispersing over ever increasing volume, the further it travels, it causes a parabolic increase in redshift. Eventually it reaches the point where those galaxies appear to recede at the speed of light and this creates a horizon line for visible light. Which is at the 13 billion lightyear range. It's not a horizon line for black body radiation though, which would explain the CMBR. Rather than being the initial stage of a singularity, it's the final state for light that has completely fallen off the visible range.
It should be noted that the current oldest detected galaxy is at 13.2 billion lightyears. That means it would have had to have coalesced out of the end of the inflation stage, to a size sufficient to shine that far, in only 500 million years. Theoretically inflation distributed everything out fairly evenly and that means gravity as well, including dark energy, since its only attribute is gravity. Considering it takes our galaxy 225 million years to make one rotation, that is a bit short for that much energy to coalesce. Remember this is mass accumulating out of essentially thin gases, spread over hundreds of millions of lightyears. When you think about it, it makes the idea of a 6 thousand year old earth seem logical.
It should be noted that the one mission NASA seems intent on preserving is the James Webb telescope, which is intended to study this background radiation. I predict that should it actually get into service, it will find the shadows of ever more distant galaxies in that CMBR.
Space is infinite. It didn't start at one point. Time is not a linear progression out from that point.
We all have our individual narratives and they are like threads bound up in larger narratives, but there are lots of cross hatching and counter-narratives out there. Newton said that for every action, there is an equal and opposite reaction. Essentially an action is a linear narrative thread. The reaction though, is decidedly non-linear. It is all the cross currents, obstacles and reactions combined.
Reality is both being and doing, because without motion, nothing exists, but with motion, nothing exists forever.
The lightcone is a conceptual construct anyway, being the three dimensional space of the sphere of inclusion, flattened to two dimensions, then projected out along the narrative dimension. So the point of the cone is an abstraction anyway. The fact is that total input into any event cannot be determined prior to that event, because some input remains outside of the lightcone of any particular point of reference prior to that event. Basically you would need massive amounts of faster than light communication to determine all input into any event and if faster than light communication is possible, it could also have input into that event as well, so then you would need faster communication than the faster than light communication and then the problem repeats itself. Future events are indeterministic.
If we call it "spacetime," why not call it "spacetemperature" as well, because if the vacuum isn't fluctuating, there is no time.
Past my bedtime....