Toyone's ability was called a "pursuit Riichi", seemingly specifically targeted to Ron on the person who called Riichi before her, right? Then the turn order issue is not about Toyone's ability to draw a winning tyle herself. Rather, because the person who previously called Riichi has to discard whatever tile they draw if they can't tsumo off of it, they are essentially completely trapped into playing into Toyone's hand.
That is to say: if you Riichi, and Toyone sets up her pursuit Riichi on you: you are screwed, full stop. There is nothing you yourself can do to avoid playing into Toyone's hand. The only thing you can hope for, is for someone else (who draws before you) to change the turn order; and because it's a ron/direct hit, there's no incentive for the other players to do that since it actually does nothing to their points.
I think the point here is that, unless you can somehow guarantee riichi ippatsu yourself, Toyone's ability basically shuts out riichi for the entirety of the game.
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