That 'clever twist' has been in common use since the 1940s in science fiction.
I meant to say, it not present in recent works. At least not any I've seen or read.
Akalabeth Angel mentioned the superb Conqueror's Trilogy. It's also present in the wildly popular Honorverse (if I recall correctly) and dozens of other SF works in the past eight years alone.
Furthermore, no interstellar empire requires FTL. FTL is magic, and it's not at all necessary for a science fiction story. Refer to Alastair Reynold's 'Revelation Space' setting for a plausible space opera without FTL, and an interstellar society that works fine without it.
FTL is not magic. Our understanding of physics is primitive at best, there may very well be ways around that apparent barrier.
Conservation of energy. Action an reaction. - those are the laws to watch about. Not to mention breaking logic on a fundamental level.
As it stands, all FTL requires handwavium of one kind or another. Einstein-Rosen bridges require negative energy density, as do warp drives -- the two plausible methods of FTL currently theorized. This is magic, though to a lesser degree than the One Ring or, dare I say, a Portkey.
In essence, we're quibbling over word choice here. Perhaps you'd prefer 'handwavium' to 'magic', though one is really a subset of the other -- magic with marginal justification and some quick talk around the sticky points.
I don't understand what you say breaks logic on a fundamental level, and whatever point you tried to make by introducing 'conservation of energy' and 'action and reaction' is lost on me.
And a interstealar empire without FTL would be pretty much impossible. There would be no way for a central government to control all of it. It would be a collection of independent planet-states at best. That's no empire.
The situation would be similar to that of the farflung colonies of the British Empire -- remote, but at least temporarily governable. It might not be stable in the long term, but if the empire's social structures were good, and there were other factors (like enhanced longevity or really good social engineering), it's quite plausible.
The Revelation Space universe presents a number of possible social models for trans-system governments without FTL travel, particularly the Conjoiners, who share radical neural restructuring and cybernetic augmentation.
Lastly, teleportation is much easier than FTL. You seem to be thinking that it requires the transmission of actual atoms, where in fact all that's required is the transmission of information. A functioning teleport would be more like an excellent fax machine than any kind of 'dematerializer'.
It would also serve as a perfect duplicator, interestingly (and frighteningly) enough.