Okay, I took some measurements and did some math.
First off, Dirk's assertion that 1 ft of cable roughly equals 100pF of capacitance is way off. That's actually twice as high as almost any standard guitar cable on the market, and several times higher than modern low-capacitance cables. If you look at the
manufacturer's specs, you'll see that standard instrument cable like Mogami 2524, Canare GS-6, etc. all have capacitance of 40pF to 50pF per foot (and interestingly, that capacitance is higher than that of lesser-known brands). And sure enough, my own homemade 10-foot cables made from Redco TGS-HD measure around 460pF, or 46pF per foot with connectors.
Secondly, I have a few 1513-135Y units (the exact device used in the PRS sweet switch) that I ordered directly from the manufacturer a while back, and I took them out and measured the capacitance between the input and ground. Every one of them measured about 1740pF, not the 3000pF posited by Dirk.
Paradoxically, while this demonstrates that Dirk's numbers are wrong, it actually bolsters his premise. If you divide 1740pF by 50pF, you get almost exactly 35 feet, which corresponds precisely to what PRSh said in the demonstration video: "about 35 feet of extra jack cord." To equal 104 feet, as initially calculated by
@Em7, the cable would have to have a capacitance of less than 17pF per foot. That's rare even for today's ultra-low-capacitance cables; I highly doubt it was common or even possible in the late 80s.
Of course, that assumes that capacitance is the only factor. The 1513-135Y delay line isn't just composed of capacitors, but of inductors as well, and I don't know what effect the inductors have on the signal. But if capacitance is the real issue here, you could just use a common 1800pF capacitor in place of the 1513-135Y. I don't have one on hand to compare, but perhaps in the future I'll stick one in a pedal and try a/b'ing it against the 1513-135Y.