Yes. What the speaker emphasized is one of the 副題, and it's determined by the context, not the order of the 副題. For instance, I think what you wanted to say would be "純子 was afraid of soul searching unlike you or other people", and not "純子 was afraid of soul searching, but she was not afraid of other things" in your context. Thus, 純子 has the stronger contrastive nuance.
Here's another example.
1)
彼は週末は仕事はしないらしい。その分平日深夜まで働いている。
2)
彼は週末は仕事はしないらしい。
朝から晩まで釣りばかりしている。
In #1, "週末 vs. 平日" is the main contrast, and 週末は仕事以外のことをする is not what the speaker wants to say. Similarly, "仕事 vs. 釣り" is the main contrast, and not 平日仕事する in #2.