What the tech did was jump (bypass) the PCM relay contacts within the CCRM. This test proved your PCM, PATS, fuel pump, etc. were all good. It also proves the PCM relay was not operating properly, but we don't yet know for sure if the cause is within or external to the CCRM. We also still do not know which of the 5 relays inside the CCRM was buzzing. It is possible there are 2 different problems and the CCRM buzzing is just a coincidence (but I doubt it).
What we know so far points to either a bad CCRM ground or a failed connection within the CCRM, preventing the PCM from being powered. Your test with a friend's car supports the bad ground theory, because your CCRM evidently worked in his car. If the tech jumps each of the CCRM ground pins (15, 16, & 18) to a known good ground and the problem clears, it will confirm a bad ground. If no change, the problem could be in the CCRM connector or the CCRM itself.
If the tech has a replacement CCRM in stock, it's probably easier to first try a replacement before bypassing the ground connections.