I'm reminded of Psi-Run which gives "first say" to the GM when the player succeeds and to the player when they fail--this changes for different aspects of the result other than success and failure, too, which seems like something PBTA-style moves could really easily leverage to shift the texture of different moves. In Psi-Run, for example, while the Goal result is as above, the Harm result gives first say to players when unharmed or minimally so, to the GM when significantly harmed, and back to the player when mortally wounded. Some of the results give first say to the other players rather than the rolling player or the GM.