I have come up with a thought experiment that really does produce a Twin/Clone Paradox.
Imagine a hyperspherical universe that is sufficiently static in size that
Magellan-style circumnavigation is possible. Set clones off in all directions from earth.
(To keep acceleraction out of the experiment, they can take a running start such that they all pass Earth simultaneously at cruising speed [identical cruising speeds, relative to Earth, speeds that are a substantial fraction of the speed of light] synchronizing their watches to zero as they pass, while an Earth-based clone also synchronizes his watch.)
When the clones reunite, whichever clone has the clock that shows the greatest elapsed time (i.e., whichever clone is oldest) will be the one most nearly at rest absolutely. (My money is on the Earth-bound twin.)
It's too bad that, according to currently popular cosmologies, we can't perform this experiment in our universe. Either the Universe will collapse before circumnavigation can be completed, or (more likely) the runaway expansion of the Universe will thwart circumnavigation. (No matter how much progress our cloned runners make, the receding finish line will make even more progress. Worse than that, the Universe might not even be closed!)
Still, the thought experiment shows that it is logically possible for a meaningfully absolute rest frame (a privileged frame) to coexist with the practical indetectability of same at the local level.
So there you have it, my New, Improved Twin/Clone Paradox!
John D. Hansen, Jr.