Hey guys, dont worry bout it. This is not going to be a FBW deal. What is being described here is consistent with the FI set-up and can be improved with proper tuning. Many of the K5 GSXR1000s (including mine) died exactly this behavior being described when they left the factory. The problem likes in the air screw settings (the idle mixture) and the EPA tuning to make them run EPA friendly at idle. They are basically super lean.
Setting the idle mixture and making sure the TPS is set up properly (they effect one another) should clear this up.
Yes they should not leave the factory in this state of tune, but you can thank the EPA Nazi's. Someone who has the tech manuals will have to dig up the procedure, but dont use the factory settings.
On the Gix, the factory setting was up to 1/4 turn out, but the tune that worked was about 2 full turns out. The bikes no longer die at idle and the blips at the bottom where no longer 'fluffy'.