A Dyneema rope/cord will inevitably melt during a descent.
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During a 25-meter descent on the device in question, even on a thinner cord — 2.5 mm — I found no signs of melting, although the cord became stiffer to the touch. The descender itself heated up noticeably. By feel, the temperature at the hottest spot was somewhere between 50 and 70 °C. The temperature of the cord was significantly lower (just slightly warm). Apparently, the cord itself has too low a thermal conductivity to heat up noticeably while passing through the device. Hanging stationary in one spot for several minutes also did not result in any melting.
A knotted 3 mm Dyneema cord isn’t strong enough for rappelling — any shock load and it will snap!