No idea. Situation dependent.
Maybe you hit the nail on the head, maybe it needs a zero-energy state while in standby? Or under startup conditions, it needs to start from zero (whereas a boost can't avoid the first bit of inrush)?
About splitting the inductor: the physical limitations Bill mentioned, are unlikely I would think. Not to say it can't happen, just that it likely will take a lot of conditions to be worthwhile.
I think it would bother me more, that I'd lose the ripple-saving property. No shared core means almost double the inductor volume, and higher ripple needs somewhat bigger capacitors.
It's still possible you find a pair of inductors which happen to fit just perfectly, whereas you can't find a dual that does -- that would be exactly such a case where it might win. (The offerings for large coupled inductors, off the shelf, is pretty pitiful.)
If custom windings are included (which they definitely would for a consumer plasma TV), it gets a lot harder to argue that.
SEPIC is also a fertile ground to tack on additional windings, for modest ratios (in the 1-3 range, say) and inversion (negative outputs). Though maybe they didn't need, or take advantage of, that in your example.
Last SEPIC I designed in, was for a 12V output, while accommodating an automotive voltage range (operational under cold cranking (6V) to load dump (>60V)). (Operation was not required during load dump, it just turned out that way; a feature only possible thanks to the tiny load current drawn by the module. It actually ended up rated a whopping 200V, making a MOV suitable to handle faster surges.)
Tim