Ted Bundy was an ENTP, not any type of xxxJ. He was known to be an extrovert who would become despondent in jail if he could not talk to anyone for extended periods of time - it was exactly how interrogators "broke" him when they were investigating the Chi Omega murders in Tallahassee and the murder of Kimberly Leach in Lake City, Florida.
His Leading Process was Extraverted Intuition - Ne - he was a known wisecracker. He was also constantly prospecting for opportunities to murder girls of a certain type. The coed he bludgeoned into unconsciousness (Lisa Levy) after he left the sorority house at FSU was wounded with a piece of firewood he found outside the Greek house. This was a spur-of-the-moment crime.
His Supporting Process was Introverted Thinking - Si - he was a master logician and debater, as many ENTPs are known to be. He loved politics and was active in College Republicans. After dropping out of law school twice, he finally got the legal case of a life time - he got to represent Ted Bundy versus The People of The State of Florida in a death row case. (I juxtaposed that on purpose.) The arrogant scumbag wannabee lawyer finally got to play attorney in court, even shaking his finger at the judge in an unbelievable act of chutzpah after all his other vile acts. https://youtu.be/eR-_S5lBIbU
His Relief Process was Extraverted Feeling - Fe - Bundy was a notorious smooth talker. His favorite ploy for hooking victims was to wear a cast and pretend to struggle with a heavy stack of library books. In addition to this very sinister use of his Fe abilities, he hoodwinked his landlady into giving him extensions on rent so he could use his money to purchase ski equipment for ski trips, he talked some needy sap into marrying him and bearing his demon child while he was on death row, and somehow involved an Oregon Republican politician in his escape from Death Row in Utah that is still under a cloud of suspicion to this day. (To be politically fair, serial killer John Wayne Gacy had his photo taken with Democratic First Lady Rosalynn Carter at just about the same time.)
His Aspirational Process was Introverted Sensing - Si - like most serial killers, Bundy loved to recall his crimes in vivid detail and relive those moments. (Warning: very graphic description: https://youtu.be/i_sPUOoS4LI
So there you have it: an extrovert with the classic cognitive functions that match with the ENTP personality. Ted Bundy was ENTP.