I had this same exact problem with an SV650, the FI light would come on and it would not drop below 4,000RPM even when at idle (safe mode?). I got the same story from the service departments so apparently it does not store the error code. In any case, I took mine in when the light was not on and Motorsports of Tampa did something to it anyway because it never did it again. I put another 20,000 on that bike before I got rid of it and it never happened again.

I have yet to experience this on my gixxer, but I think it is probably just a matter of time after reading MANY posts about it.