What happens to game effects like outwit, perplex, outsiders etc after using them and then becoming a pilot and being placed on the vehicle card?

They go away as if they were countered:

"A character who becomes a vehicle’s pilot is removed from the battlefield and placed on the vehicle’s character card; all of a pilot’s powers and abilities are ignored, unless a game effect specifies it activates when the character is a pilot."

Thanks, not sure how I missed that.