all good info, but I still have to wonder if a leak or pressure regulator wouldn't also be evident during the first 34" of running? I can ride it warmed up at highway speeds, squeeze the clutch, turn off the ignition, restart it and ride for 34" just fine at highway speeds before it pops again???????????
Immediately after start, there is a period of enrichment that occurs, until the engine is warmed up, tapering off as the engine warms up. I can't help but think that what you are seeing is a brief enrichment period, as the ECM samples engine temperature, normalizing the initial engine temp readings until determined to be reliable and stable. The enrichment/temperature algorithm is not published, so we can only guess. I do know that many things that could be detected with a single sample, are not reported for some period of sustained issue, like injector connection issues. This is likely so that sampling glitches can be ignored.
During the enrichment period, injector 'on' times are extended, providing more time to get enough fuel for combustion into the cylinders, temporarily compensating for low fuel rail pressure, which you DEFINITELY have, according to your previously posted measurements. I suggest that you fix what you already KNOW is wrong, then see if there is more to fix...in that order. These machines are VERY sensitive to fuel rail pressure, with fuel mix based upon that pressure. The symptoms you describe are definitely consistent with low fuel rail pressure. There may be more contributors, as I have discovered with my own ride, but you can only address them as you discover them. Right now, low fuel rail pressure is likely dominating your symptoms.
These are my suggestions, and are based on the presumption that previously posted fuel rail pressure readings are reliable. It is your ride. You decide.
Enjoy,
Rich P