I suspect that the indexes are kept in a single hash (a global set). The K1 had separate indexing for the main memory and the SD card, and if you moved a book from one place to the other, it reindexed that book.
It isn't efficient to search n indexes for a single word, when searching one is faster.
Therefore, the entire set of documents/books would have to be identical for the pc and the Kindle for your idea to work, disregarding the DRM issue for the moment.
Impractical, I think.
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