I’ve noticed two separate meanings for the term addictive personality.
- A person with such a great personality you could become addicted to spending time with them
- A person who is susceptible to developing addictions
The second one doesn’t seem right. The words (adjective-noun) indicate to me that the personality is addictive, not that the personality is attracted to other things that are addictive.
My guess is that the first meaning is the original and the second is a misunderstanding of the first one which seems to have become common, sort of like how people say ‘chomping at the bit’ or ‘could care less’ (‘champing’ and ‘couldn’t’).