Impedance rise alone isn't stating too much as there are many things that could be referring to. Impedance rises with frequency due to the inductance of the driver, then this impedance rise varies based on position of the coil and how much of the steel pole is inside the coil at a given position. Impedance rises as temperature increases due to heating of the VC. This is known as power compression. You also have impedance peaks based on the enclosure. A sealed enclosure has one peak at Fc, and a vented enclosure has 2 peaks with the dip in the middle being equal to the tuning frequency.
The first 2 are serious issues to deal with. The inductive rise not only makes the impedance rise, gut is a huge contributor to distortion. Power compression is another big contributor to distortion and loss of output. A good woofer will do something to address these issues, but 99% of woofers out there don't.
John