In the meantime I had a look into our old friend Richard van Basshuysen's book "Gasoline Engine with Direct Injection: Processes, Systems, Development, Potential". You find big parts of it at:
http://books.google.de/books?id=xWDAxyBx45IC
Basshuysen was part of the development team for the Audi R8 FSI racing engine ten years ago. So you have to consider that direct injection technology has moved on considerably from that time. The FSI engines used wall guided combustion with injectors capable of an average operating time of 5 ms. Spray guided processes now use injection times of 0.2 ms. So the injection has become 25 times faster from the times of the R8 until today. From 8,000 rpm to 11,000 rpm the new F1 engine would exceed the capability of the injectors to support spray guided injection. Fuel would hit the piston and effectively change the process to wall guided. One should keep that in mind.
Nevertheless there is a bit of interesting information in this picture. It says that direct injection regardless of the process being used has a minimum of 5% fuel saving over port injection in full power mode. It also shows that the spray guided process is hugely more efficient under part load conditions than the wall guided process.
The next picture would help us with our quest for average power. It shows 17% overrun time where the engine does not produce any useful power. It also shows 71% full load for a Le Mans lap. The 12% part load is half in the stratified and half in the lean homogenous mode. It is a pitty that we do not have this picture for a typical F1 lap and a more modern spray guided injection process. In the light of the opposing suggestions by riff_raff and xpensive which puts base line efficiency to 26% in 2009 and 34% in 2010 I feel justified to stick with my estimate of 29.3%. It is nicely bracketed by the inconsistent expert estimates.
Regarding 747heavy's question on lambdas there is also some interesting info. The old engines were slightly under stoichiometric in full load and had a useful part load band that was using lambdas from 1.0 to >1.4. My estimate for the average lambda in the 12% part load operating time would be 1.15.
Regarding fuel saving Basshuysen quotes -9% for the R8 engine compared to a base line achieved with port injection of the same engine.
We know that direct injection at full load saves at least 5%. So the residual 4% fuel savings must have been achieved in the 12% part load time that is spend in stratified or lean homogenous mode. That seems quite an impressive figure which will hopefully be achieved by the F1 engine as well. One should also remember that the R8 Le Mans had a top end rpm of 7,200 while the new F1 engine is supposed to go up to 11,000 rpm. Considering all the different factors one hopes that the F1 engine can exceed the R8 by several percentage points. I don't think that 11% is a bad assumption on my part. And btw, it is not coming from my ass as you can see. The estimate is based on previous similar engine projects and is considering that we have new fuel saving technologies now in several areas compared to 1999 when the R8 3.6L V8 was developed.