Drawings are titled "Nimrod Update", which is suggestive of what I've previously heard called the MR.2 Mid-Life Update. The avionics that went into the AP-3C were developed for this program, and eventually became the core of the MRA.4 and P-8 mission systems.
I've heard, anecdotally, that most of the work on the MR.2 MLU was discarded when the P-7 was selected as a Nimrod replacement, leaving the RAF scrambling for a solution when the P-7 got cancelled. That goes some way to explaining the MRA.4 acquisition program.