Well, I tried out the idea that a 5 wire stepper can be driven by a 4 wire bipolar H-Bridge driver, and it works fine.
I used one of those 28BYJ-48 5V miniature ones, since it is the only one I have, and which I modified into a 6 wire version. I ran it in half step mode from an L298N driver, and monitored the current between the 2 now separate centre windings. The cross conduction between the coils was a fraction of a mA, as I expected it would be, and had no effect on the running of the motor or total current consumption when joined together.