I don't think it is unfair to say that a given pellet through a given choke and at a given twist rate will have a "sweet spot" for accuracy, both in terms of absolute accuracy and in terms of minimizing wind drift. (real world accuracy) So really one would expect, with a Crown or any rifle for that matter, a certain reduction in accuracy if you move off your peak tune.
That said, I've dialed my Crown back with the transfer port and not had any accuracy issues. I'm afraid I've never tried a statistical investigation of how it changes group sizes, because when I'm shooting for keeps I run full power, but I've not noticed anything going wonky. I hope that helps.