Copper flux modulation shorting rings
This is typically used in speaker drivers that have long coil in short magnetic gap - these type drivers may have high amounts of non-linearity (distortion) due to the voice coil design (most of the voice coil sits outside the magnetic gap or linear part of the magentic field)
Without knowing more specifics about the driver quality on your Martin Logan option it is hard to say.
FWIW, 12" woofer quality can easily be worlds apart from two different manufacturers. Some manufacturers like SVS sounds give you excellent drivers in a low cost box (but cheaply finished and few features) others give you low cost drivers in an expensive beautifully finshed box with rich features.