Good ideas. It is easy enough to test the coils as a passive pickup, and to swap them to the non-inverting input and test that.
These diagrams might help explain the circuit. First, it is designed to work as a differential amplifier if required.
View attachment 4821027
Second, it can be used as a single ended amplifier. Arranged like this, it probably makes more sense than the original drawing.
View attachment 4821026
In single ended mode, R1 and C1 are redundant.
R8 and R9 are coil loading resistors. Once it's working, I'll play with the values of these to alter the way the coils sound. In theory, you can move the resonant peak to make it sound like different pickups.