I've just confirmed through a really old post by stevebfl that the pump is indeed the same across so many models. Simply amazing.
Here's the link:
http://www.peachparts.com/shopforum/showthread.php?t=66381
Thanks again to Sixto for pointing me to the right part number which allowed me to Google and find the confirmation.
I can rest now. I'll begin the hunt for the SLS pump / pressurized oil pump later today.