You can argue all day about what benefit a CAI adds hp wise. I think that is a legit issue and perhaps the SOTP difference is in the eye of the beholder.
However, you are not correct regarding A/F. The supercharger, CAI, whatever, works by getting more cold air into the motor and therefore increasing power at a given A/F ratio. If the car runs lean at first it would be a temporary issue until the computer corrected itself. The program cannot correct iteself, however, if you trick it by altering one of the program assumptions like pipe dimension.
Here is an example of a Mustang CAI that tricks the computer by leaning out A/F:
http://www.macperformance.com/store/...Product_ID=757
The stock MAF sensor is programmed to assume a 90mm tube, but this new housing is 95mm. It's letting 5mm worth more air in than the computer is reading and leaning out A/F.