The 911 drive cycle checks the SAI system out really early in the drive cycle.
I have found on everyday cars that if you run the drive cycle properly and one monitor has not cleared it may simply be waiting for another failure to occur before throwing the code?
Here is the 911 drive cycle. See step A in post #1
https://rennlist.com/forums/996-forum/954965-failed-smog-sai-monitor-not-ready.html
My guess you have a SAI fault which is not a show stopper for me but on a Saturn or the as mentioned Jetta, access to kit is right there.