Mom's Malibu did the same thing.
Oldred, my mother's 2000 Malibu did the same thing. The problem was the original equipment, coded key. We had a key that was a copy made at Home Depot - not coded - and never had a problem when using that key. You mentioned that the "Wally world" key seems to work fine. If that's the case, just get rid of the original key.