Zelda in Twilight Princess??

So in Twilight Princess, when Link goes into the Twilight Zone✨️ he turns into a wolf. And isnt that because he's part of the Triforce?? Maybe I missed something.. but if thats the case, then why isnt Zelda in some other form too?? It would be interesting if she, like Link, turned into some creature whenever she's in the Twilight Zone. The reveal to that probably wouldve been nice. That and Ganon. Ganon would probably be the pig the whole time lol.