If you look at the amplifier as a current source, then for amplifiers and receivers that are capable of supplying lots of current into low impedances, biwiring could offer theoretical advantages, particularly to loudspeakers that are linear and smooth, like the Axiom M80ti and M60ti, by eliminating potential intermodulation distortion between the low- and high-frequency portions of the audio signal. Using biwiring, this distortion would not occur because the low-frequency part of the speaker crossover would draw the current it needs for the woofers (and they need lots of current) through one speaker cable, while the midrange tweeter section would draw less current (it doesn't need as much) through its own speaker cable. This could prevent intermodulation distortion that may occur using one big “fire hose” or single speaker cable. (Using two cables per speaker will also lower total resistance to the audio signal—and that is well and good, although a single run of 12-gauge cable to each speaker will keep resistance to an insignificant level, well below 0.3 ohms.)
Will it sound any different if you biwire? Some users think it does, but I've never heard any differences, nor have any of our laboratory measurements or scientifically controlled double blind listening tests ever demonstrated there are audible differences. Axiom includes the extra terminals as a nod to those enthusiasts who believe that biwiring results in audible benefits and for the bi-ampers.