Ok, stop the bus... I've checked this out for my own sanity.
http://www.cpu-collection.de/?tn=0&l0=co&l1=I … 0SX#NG80386SX33
There are two roads (bus systems) in and out of this CPU... a data bus, and a separate address bus.
The SX CPU does have a 32-bit core (I realize this now), but can only manipulate 16-bit word at any time over the 16 pins that are connected to the data bus (hence needing only 2 x 30 pin simms!). I somehow managed to interchange the number 24 to the number of internal data lines from the number of addressing lines. Internally with a 32-bit core, it could in theory register and manipulate 32-bits (data lines, not addressing!) but only has 16 pins available to transmit and receive bits across the 16-bit data bus.
My mistake was in thinking that internally it could manipulate 24-bits of data at a time... giving rise the theory of using 3 x 30 pin simms... which would just be madness.