Very interesting stuff! I have this problem on my EU2 car with Brise starter. It started happening as the ageing Banner began to die, slowly getting worse. I replaced that with an Ultramax type battery but still occasionally it crops up. I found that the engine will fire and immediately die but, if I keep it cranking through the initial kick, then after a couple of seconds it will splutter in to life and then run fine. That makes sense as the combination of the recovery of the battery voltage, the spinning alternator and resetting ECU/IACV position eventually all get to a point where the engine will run. I'll have to get in touch with Brise, although the starter is a long time out of warranty. It must be at least 4 years old as it was already fitted when I bought the car, I'm sure there is a DT invoice in the history folder somewhere.