A number of reasons make it more preferable to play and flop at Cinci instead of skipping it altogether if Petra enjoys playing at New Haven more than Cinci which she apparently does.
She gets the bonus at the end of the year for playing P5's
She retains the option of skipping it next year should she choose or circumstances choose for her.
She can treat it as a paid practice session, a practice session with prize money at the end of the practice, courtesy of the Cinci organisers.
She gets a week vacation in Cinci. Although idk about this one, is there anything to see in Cinci?