Many designers subscribe to this also when they use heavier gauge internal hook up wires from the LF posts to the woofers and lighter gauge wire to the MF/HF drivers.
I use DIY wire (6N copper in cotton) and I do the same thing using two runs of wire with 6 individually isolated 26awg wires (16awg aggregate) to each of the MF/HF posts, and a pair of 14 awg wires (11awg aggregate) to each of the LF posts. The LF driver will draw more current than the MF/HF driver. Whether any of this is audible depends on many things such as the length of your cable run and the characteristics of your speakers and amps.
I would not use a different type of cable for the LF than I use for the MF/HF, simply a different size.
I use DIY wire (6N copper in cotton) and I do the same thing using two runs of wire with 6 individually isolated 26awg wires (16awg aggregate) to each of the MF/HF posts, and a pair of 14 awg wires (11awg aggregate) to each of the LF posts. The LF driver will draw more current than the MF/HF driver. Whether any of this is audible depends on many things such as the length of your cable run and the characteristics of your speakers and amps.
I would not use a different type of cable for the LF than I use for the MF/HF, simply a different size.