There are two connectors on the MFRU
Connector 1 is 6 pin (1.1 - 1.6).
Connector 2 is 8 pin (2.1 - 2.

.
I think the cables you care about are:
The white cable into 1.2. This is ignition live and must be working because the relay is clicking.
The blue with purple stripe into 1.1. This is the switched earth from the ECU. I think this must be OK because the relay is clicking.
The white with purple stripe on 2.4. This should show zero ohms when tested to the cable of the same colour at the inertia switch. Note that it goes via the engine harness connector, another possible source of bad contact.
The brown with silver stripe on 2.1 This should show zero ohms to pin 6 on the immob connector. Note this also goes via the engine harness connector so could be a possible source of problems.
With the MFRU disconnected you should see +12 on the white+purple cable going into 2.4 whenever the ignition is on.
With the MFRU connected and the ignition on and MEMS pin 20 earthed you should see +12v at pin 6 of the immob connector.
TBH, I think you may get to the answer quicker by just disconnecting and inspecting carefully the relevant connectors - engine harness connector, MFRU connector, inertia switch connector.
Cheers,
Robin