Don shared the D-jet information already, but I used this info when doing my troubleshooting in the past.
http://www.vclassics.com/archive/efi.htm
The same but more or less as a summary.
As I have done almost everything in the past to solve my issue, I would do the following.
1. Basic checks, ground, battery, working alternator, coil(does it get hot during idle run?) timing, etc. (Not sure if that is correct already based on the discussion here?)
2. Do a leak/smoke check of the intake system.
3. With fuel pressure being ok,
be sure to check the injectors and your cold start injector outside the intake plenum, so that you actually see that they spray. You are mentioning that it starts quit late (10 turns) before it starts. Mine starts within 2 or 3 turns). Your cold start injector is suspicious to me.
Read my other post, the injectors can click but the needle can still be stuck into the injector housing. You can make them open with a hammer (ask me how i know) by knocking gentle on the needle.
4. Check the electrical components of the D-jet system like mentioned in the link. You can check them with a multimeter and a vacuum hand tool for the MAP.
5. You can play with the knob on the ECU, but besides a leaner/richer mixture it won’t change your symptoms I believe. Then at least you know that there is ‘a knob’ on the ECU!
It goes sometimes straight through what you already mentioned, but see this then as a brain dump
A combination of this was in the end my issue with a difficult low rev running CSi engine.