Ignoramus28169 wrote:

Here's my tentative conclusion on this sad story.

The culprit is a poor design of the fridge, such that

1) It cannot restart with the compressor hot

That is the design for efficiency. The compressor motor is sized so it
has just enough power for "running" and as a result does not have enough
power to start against head pressure. As a result, there has to be a
delay before restarting to allow time for the gas pressures to equalize.

and
2) It does not wait until the compressor gets cold.

The above could have been corrected with $5 worth of parts and a LED
light.

Generally they use delay timers and pressure switches. It is possible
that a pressure switch has failed and is allowing the compressor to try
to restart while the head pressure is still high. It is also possible
that there is a faulty component on the control board such as a
super-cap to provide power to time through short power failures. Yet
another possibility is that there is a fault in the system causing
abnormally high head pressure and / or failure of the system pressures
to equalize in the expected time period. Have you cleaned the condenser
coils (outside) and checked the evaporator coils (inside) for icing?