From what I understand, The VIN (Frame number) is the gospel regardless of the engine number.
(I'm refering to 750's)
A lot of bikes that I have bought over the years, which have been majority K2 designation, have had K3 engines according to the engine number sequences.
This in Oz and I don't know if this had had anything to do with the export market back then and possibly an "overflow" from model to model.
This happens with passenger vehicles a lot, and is a PITA when it comes to identifying correct parts through model changes.
Mick