That wasn't entirely the truth.
Alice really hadn't thought that the Eye of Peeping could see the problem with her. The Main Reason Is that she had met a demigod-level Mystic Seer—Bernadette.
Alice Guessed that the Eye of Peeping being able to see the problem with her was likely only a recent development.
However...
Having learned for the first time that the Eye of Peeping was uncontrollable, Alice Remembered the "Monster" who could In A Sense be considered to share the same affliction. Half pitying and half sympathizing, she turned to Klein in the Gray Fog and tapped the table as she asked:
"Can You seal her eyes?"
Audrey and Alger simultaneously Remembered Alice's tightly shut eyes at the beginning.
They Suddenly Realized that, at some point, the manifested glasses on Miss "Fate's" face had disappeared—meaning that she could already look directly at Mr. Fool.
Remembering Cattleya's tragic state just now, they were startled and looked away.
Aside from the two of them, Other People had their own thoughts—for example, pondering what the "light" Cattleya had mentioned meant.
They could easily tell that Alice Didn't Think About what exactly was on her before this, and yet after hearing the answer, she found it perfectly natural. But... what could light represent?
Klein was actually thinking about the same question and somewhat regretted that Cattleya hadn't looked at him just now—he was rather curious too.
But wasn't the direction a little different? In Their Impression, the two people who had seen him... uh, one and a half, since Alice hadn't truly looked, so she only counted as half.
In Their Impression, that one and a half people who had seen him were all from the "Monster" Pathway. He Didn't Know whether the Eye of Peeping could see it... after all, it wasn't