My nephew had his a/c stopped working recently and it was initially diagnosed as a fault fan motor resistor. The A/C worked for a bit then stopped.

We diagnosed that the resistor was still working, via a test light going brighter with each click,

Then diagnosed that the motor was in fact bad, by applying a 12v D/C power source.

The question is would a bad fan blower, stop the a/c compressor from cycling, due to some lack of resistance from fan motor even the thought A/C button is on and fan control is on max?

 

Evaporator probably feezes and causes a cut out.