Things we know about Nagi so far:
1) She's a billionaire heiress.
2) She's had 3 boyfriends in the past.
3) She's into creative people (artists, writers, musicians, etc.) and likes to support them.
Things that have been implied or that we have reason to suspect:
1) All her ex-boyfriends probably practiced some of the creative arts (like that scumbag we've already met who plays in an indie band).
2) Nagi fell for them because she admired their works, and invested all of herself in helping, indulging and caring for them in every possible way.
3) This approach backfired spectacularly... as the 3 idiots started neglecting their work and instead focused on milking Nagi for everything she's worth.
And now it's Chi-chan's turn...
Let's hope the power of yuri protects this relationship and prevents Chi-chan from falling into the same pattern as the three losers before her.