Interference suppressor then
in the wiring diagram previously posted u will see that the ECU has three earth connections, they will terminate local to the ECU later D1s the earth point is a stud worth checking.
There isn’t a DIY diagnosis of the ECU function unfortunately, so replacing with a known working one Is the only other DIY option.
I went through an ECU issues many years ago, the only way my main dealer could check was by replacement taken from another RR, but they weren’t able to supply a new one, there was a national shortage, but at least it was drivable... just.
I had to remove the ECU and take it the the Lucas department that dealt with LR ECUs, so off I went to Litchfield 200+ mile return in a fast car
Lucas put my ECU on a gig and after 90k miles not surprisingly found loads of faults, they then replace components while I waited, and updated the ECU. When fitted back in the RR the engine roared was better than ever.
That was for a 3.5 engine not a 3.9 that u have.