The example linked to is OK for two simple loads (such as a couple of lamps), but it understates the dynamics of the real world.
In a neutral failure scenario, rarely are the loads as simple as two lamps in series; there is usually a network of loads on each half. The microwave when off has just the electronics that operates the display and keypad. Open the door and that adds the interior light. Press the start button and the transformer and the motor for fan and rotation and the light comes on. So there are four separate independent loads in a typical operating microwave.
Depending on the fridge, there may be one or more lights, one of more compressors, and maybe heater(s), and maybe electronics for the display.
But, as noted in the presentation, Ohm's Law applies, so you can (theoretically!) work out what the actual impedances of the two appliances are, and thus work out what voltage is present across each one when the neutral opens.
Rarely will the impedances of the appliances be such that each still gets 120V across it. One will have more than 120V, the other less. So what happens?
That's when it gets interesting.
The weakest link on the appliance with the higher voltage across it will eventually fail. When it does, the impedances have changed, and the voltages will re-balance. Thus the next weakest link comes under stress.
Note that the weakest link is the weakest link at the actual applied voltage.
So what happens is a sequential failure of each element in the complete circuit until you get to the point where something can take the over-voltage continuously in a stable state, or on one side all loads have burned out so current no longer flows.
Thus in most real world neutral failures, and especially when its at the service not at the MWBC, pretty much all parts of all connected devices will get trashed.
Neutral failures are ugly.