There is no testing of the CPS, replace it. You will see bias voltage, but you won't see the blips as the engine turns over with any meter you can buy at Lowe's, that would take a $500 Beckman or an audio-quality oscilloscope.
I'd go with DJ's suggestion - CPSs usually fail at high temperature, then work when the engine cools down, it is not characteristic of a CPS to simply fail like that.

Do what DJ told you to do. IF the fuel pump relay closes, test for fuel pressure, you want 58psi +/- 3 psi. The engine will start on as little as 25psi, but won't run right (actually a COLD engine may not start at such low pressure). I like the OTC test kit for this, under $50 and it diagnosed my Truck when it started to act up.

The fact the starter engages narrows it down to fuel or ignition. With a car that sat that long, hard to say what you will find, but I really doubt it's the CPS. One thing you CAN do, is yank a plug cable off and see if, during cranking, the coil throws a spark, if so, the CPS is fine - the ECU will NOT fire plugs or injectors if the Crank Sensor or Cam sensor has failed. If you get a spark, those sensors are fine. Expect it to bridge only a fraction of an inch and do not hold the cable with your hands - if it is firing plugs, you will FEEL it and if you are a cardiac patient, it would be best to avoid being jolted.

https://www.summitracing.com/parts/o...RoCrdsQAvD_BwE