Measure the 7.5uF capacitor, it likely will be well under 3uF. The capacitor fails slowly, going lower and lower in value, simply from the self healing that occurs in the inside foils, and this gradual erosion eventually stops the unit totally. The motor looking like it has been sitting in an oven at high temperature is simply the result of the fan being cost cutted down, the manufacturer runs a thinner wire, and this has a higher resistance, and the high temperature over long periods slowly kills the motor. They rely on the insulation being able to withstand class H temperatures ( 130C winding temperature) for at least the warranty period, and as well use fewer turns of copper ( or copper coated aluminium in the most likely case) by winding the motor for the low part of the voltage range, winding the typical compressor for EU mains for 200 V instead of the harmonised 230VAC, and as well using just enough core to handle the magnetising field with only minor heating and running it well into saturation.
Yes they fail, but most from simply being poor designs, the capacitor value going low is the most common killer, but a high capacitor will also kill the motor as well, but they run for a long time, with much higher voltages across the capacitor that self heals it faster.