No, it actually makes sense that Triss is in the second category.
Triss says that she is like Ciri's older sister in the books. She promises Geralt and Yennefer that she is on their side. But in the end Triss betrays all three of them. You see, Triss is a member of the lodge, a group of sorceresses who throughout the books want to use Ciri to further their own political goals and eventually conquer the world.
1. Get Geralt killed.
2. Distract Geralt from finding and helping Ciri
3. Consider Yennefer a fugitive that deserves to be punished (because she's trying to protect and save her daughter).
4. Pretty much the lodge, including big sis Triss, want to make Ciri into their little baby factory and assassinate a King (one of the very few good kings) in order to set their plans into motion.
By the end of the books, after Geralt gets away from the lodge's distraction, Geralt is able to trick them and keep them away from Ciri (for a short time). He eventually saves Ciri, but in the end is given no choice but to give her up to the lodge 'or else'. Do you think Triss opposed the or else? You probably do. The facts however state otherwise. Triss is in on the entire plan. Once Yennefer takes Ciri to the lodge they decide that they're going to punish her, something Triss (someone who is supposed to be Yennefer's best friend) hardly opposes. In the end she votes to let Yennefer and Ciri see Geralt one last time before Yennefer is punished and Ciri is shipped off to Kovir against her will. She does this alongside Phillipa fucking Eilhart and half of the other sorceresses. What a great friend, what a great sister.
In the end she escorts Ciri and Yennefer to Rivia right before Geralt gets killed during the pogrom. She helps Yennefer fight her way through the crowd to Geralt's body, but that's about it. In the end she watches as her best friend dies trying to revive Geralt. Triss doesn't even try to help Yennefer with that, btw, she pretty much just lets her die alongside Geralt. Then Ciri takes Yennefer and Geralt to the Isle of Avalon and flees.
While Yennefer loved Geralt, Triss only lusted for him. While Yennefer and Geralt protected Ciri, Triss only thought of how to use her in politics. (BTW how do you think the lodge finds out about Ciri... Well silly, Triss tells them!)
---------- Updated at 06:17 PM ----------
The forum won't let me post edits so I'll put it here. Yennefer is also in the lodge, but she is left out of their plans that involve Ciri.