I do think the role is perfect for Olivo, but to my knowledge she has never played the role in any formal incarnation of the show (meaning workshop, reading, etc. It's certainly possible that Miranda had her, like, come over and sing a song). Anika Noni Rose played the part prior to Renee, at the Vassar presentation three years ago, and I believe Mandy Gonzalez sang it at the Lincoln Center concert in 2012.
"...everyone finally shut up, and the audience could enjoy the beginning of the Anatevka Pogram in peace."