I don't know how audible differences can be measured but you can certainly measure the electrical difference. No I don't have much other facts because I got the facts mostly from speaker manufacturer's sites such as Axiom, B&W in the first place.
Let's quote Axiom again since you started quoting them, following is the paragraph that precedes the one you quoted:
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.)
Note the bold and italic part that says it is not the same as one thick cable.