The measured difference is tiny and somewhat random as one would expect making milliohm resistance measurements. It will be swamped by differences in connectors and cables to the speakers. In general to reduce voltage (IR, current times resistance) drop you'd want the largest conductor, thus largest fuse, possible that does not exceed the recommended current rating.Actually, audio fuses are only used in AC audio circuits, but I suppose there could be a situation when a fuse is used in a DC circuit. Refer to the fuse datasheets (Exhibit A) from my post yesterday - the measured differences in resistivity of a number of audiophile and non-audiophile fuses were performed for fuses in AC circuits.
The HiFi Tuning paper shows mostly DC measurements plus some LF (e.g. wall power) and (vector) impedance AC measurements. They mention leaded fuses are better, which makes me wonder about the influence of the fuse holder(s) on the measurements. Since they are a German company, is it correct that say 44,47 millohms in their table is the same as 44.47 milliohms (USA decimal point) or 0.04447 ohms? They state they measured slow-blow fuses, which are manufactured at least a couple of different ways, thus will have significantly different resistance depending upon construction. Still small, but different. The measurement will also change over time, current flow, and environmental conditions (mainly temperature).
It would be interesting to see how the resistance changed before and after cryo treatment.
Normally low-resistance measurements require a four-wire (Kelvin) measurement for accuracy. Otherwise, the contact and probe lead resistance will introduce errors. That is usually a DC measurement though can be extended to AC as well. Vector impedance is tricky with very low impedances; my world is not low-frequency, but for relative broadband power planes (DC to >1 GHz) I use a four-port VNA (vector network analyzer) configured similar to the standard four-point DC setup to measure very low impedances (down to 1 milliohm or below), and a special test circuit to provide force and sense connectors for the VNA. The resulting S-parameter measurements can be converted to whatever format and units are appropriate for the application (often impedance in ohms magnitude and degrees).
You could also measure the drop using a sensitive voltmeter with high-impedance input, though the value will depend upon the current through the fuse, and the fuse must be in steady-state for accurate low-level readings. Not only constant (if AC, rms) current but temperature (and implicitly any airflow) must be tightly controlled. Whenever I have done those sort of measurements the device under test (DUT, fuse or whatever) was mounted in a sealed chamber with tight environmental control and allowed to reach steady-state before taking measurements. Then a number of measurements were taken over a period of time (minutes to hours or months depending upon the device and test specifications) to check variance.
AC means "alternating current"; the current alternates from positive to negative relative to the reference (typically 0 A). In one direction the diaphragm will move out; in the other, the diaphragm will move in. The only time it does "nothing" is when the current is zero.When the “signal” in either + or - wire moves in the direction of the speaker it causes the diaphragm to move. But when the “signal“ moves away from the speaker on either wire it does nothing. For a fuse, the signal moves in both directions on the wire it’s attached to according to the instantaneous audio frequency. It’s easy to see that the best fuse direction is when the voltage drop is lowest in the direction of the speakers.