Akinbo,
Your point is a valid one, with no answer except in terms of the unsatisfactory 'domain limits' identified by Einstein. Tom's schema assumes Relativity as it's start point so can't really further address the issue.
My co-author on a few papers is a Minkowski and we've looked at his antecedent's work in much detail. His view was mathematical, and his concepts are hardly truly reflected in the evolved 'interpretation' of Einstein's theory ("the postulates"). [Tom; You may prefer to stop reading here if 'locked in' as above].
Some interesting quotes to give food for thought, including on "length contraction";
Cologne 1908; "Then from here on, we would no longer have space in the world, but endlessly many spaces;" and "Not to leave a yawning void anywhere we will imagine that everywhere and everywhen there is something perceptible...I will use...the word "substance".
(Axiom;) "The substance at any world-point may always, with the appropriate determination of space and time, be looked upon as at rest."
"...we may define this magnitude... (c) as the ratio of the electromagnetic to the electrostatic unit..."
"...cases with a velocity greater than that of light will henceforth play only some such part as that of figures with imaginary co-ordinates in geometry."
That bit is entirely consistent with the DFM's 2ND ('apparent') case of 'speed'. Of LT's length contraction he wrote; "This hypothesis sounds extremely fantastical, for the contraction is not to be looked upon as a consequence of resistances in the ether...but simply as a gift from above,"
Again I agree. There's little there that can't be interpreted as Einstein's 1952 descriptions, distancing his theory from the "interpretive embellishments" so may think IS the theory! Discrete Fields are consistent with his 1952 descriptions, as well as Minkowski's; "endlessly many spaces" which may be in relative motion but within them the substance' is always locally 'at rest'. That's just like 7 'atmospheres' at rest locally but moving at different relative velocities within the solar system.
Back to your original question, the 'curvature' in deep space equivalent to de-Sitter is well described by the LT, precisely equivalent to from diffuse medium refraction (if not then where the refraction DOES emerge needs identifying!)
Best wishes
Peter