The circuit protection may not ever act, for the wire to get so hot it melts its own insulation off there has to be something wrong either a loose connection, high impedance fault or incorrectly designed circuit to name a few common causes, if the cable is part of a multi-core cable the end result is more likely to be a short circuit which should operate the protective device, if and when the circuit protection operates will depend on many variables so watching a video of one set-up will not show you what will happen under differing conditions.
Go on youtube and look up overloaded cable ... really not the hardest thing to look for, cannot understand why your asking for links to an easily sourced vids but as you seem unable to do this here's a link that took 5seconds to find...
https://www.youtube.com/watch?v=bBYHtBPbBJE
