Again, the chapter showed the flow of events.
https://mangadex.org/chapter/e714d0eb-d926-4a6f-b1a2-feae7c94914d/18
He responded to her voice first (telling the stranger to go away, because, y'know, his own curse)
https://mangadex.org/chapter/e714d0eb-d926-4a6f-b1a2-feae7c94914d/20
She literally thought he might've collapsed because of her curse, then check but there's no mark.
Given she's a reincarnator and doesn't really know how her voice truly work, maybe she just assume he was far away enough to not be cursed but still was affected by it.
https://mangadex.org/chapter/e714d0eb-d926-4a6f-b1a2-feae7c94914d/29
On his POV, he felt an approaching presence.
https://mangadex.org/chapter/e714d0eb-d926-4a6f-b1a2-feae7c94914d/32
Woke up for a moment and saw her and nobody else.
And here's the one key point you seem to keep forgetting: HE RECOGNIZED SHE IS NOT AFFECTED BY HIS CURSE.
To his knowledge, for someone to not be affected by curse would means they're also cursed.
So if she is cursed as he expect (and 'confirmed' in this chapter) then it'd make sense for her to hide her voice and pretend to be mute, the same way he hid his cursed eye.
Yes, I was definitely forgetting he recognised she was not affected by his curse, and that led him to his conclusion in this chapter.
The problem I have is with https://mangadex.org/chapter/1ecf91e6-133d-4d2d-9ba0-f956afb1ca7c/19 where she instantly assumes he knows she can speak.
That's strange because, as far as she knows, those who hear her speak, die. Note that, as you said, she thought he was collapsed because he heard her voice, but she checked for the curse mark, realised he didn't have it, and then saw that he was heavily wounded and needed treatment (so your comment about being far away to still be affected but not be cursed is plain wrong; she knew it wasn't that). Additionally, when she saved him, he showed little reaction, as he was mostly unconscious due to his wounds. As far as she could tell, he was just sleep-talking from delirium instead of actually responding to her. The conclusion she should have reached here, since she doesn't know about him being cursed cancelling her own curse, is that he couldn't have possibly heard her.
In fact, the main reason I recollected the previous events incorrectly is the page I linked; they're shown in visual range of each other and he's telling her to leave him alone.