Your summary is pretty much on the money.
Stock pump will safely do ~340lbft in the midrange and ~350bhp top end. It's midrange limited due to the fact it's cam driven (3 lobe cam, actuates 1.5 times per engine RPM). Facelift S3 (CDL engine) has a slightly longer stroke on the pump (extra 0.3mm) which doesn't seem much, but it's enough to make a difference. If the actual rail pressure deviates too far from requested, there is a specific map that specifies load on E_hdr.
Injection time ideally needs to stay 10ms or less. Any more and you'll start to see fuel trims heading towards 25% and start missing your AFR target.
Thanks Gman, Gives me something to work with..
Finally the figures here are BAR?