It wouldn't be to a production's best interest to have this happen. It would place individual focus where there was no investment.
I don't know if anyone remembers the Jason Antoon controversy during Contact. He was 'technically' an ensemble member, but the tiny roles he played (and I mean tiny) earned him a Drama desk nomination for Best supporting actor in a musical. The buzz around his performance was such, that the Contact producers petitioned for Boyd Gaines and Karen Ziemba (gossip says at his request, as to not have Antoon be nominated and win) to be considered for Featured Actor / Actress in a musical at the 2000 Tonys. Gaines, who was nominated for leading man elsewhere (who he was), ended up winning the best featured actor Tony (which, to be honest, he was not - Antoon deserved the nomination, although he would never have won against the cast of Kiss Me, Kate).
So, this idea would only benefit the performer. The rest of the production, not so much.
Listen, I don't take my clothes off for anyone, even if it is "artistic". - JANICE