I do wonder if the line “You remember more than you say” also poses a problem. Kylo goes on to reveal the circumstances of their death, which isn’t something Rey could have known beforehand. This line seems to undermine the sincere confession about her own parents in TLJ. I feel it is important to maintain, even retroactively, that film’s moment of Rey admitting the truth to herself. Not admitting partially but still blocking out a deeper, contradictory truth. Rey can learn her parents were connected to Palpatine in TROS, and that doesn’t have to infringe on her sincerity in TLJ.
Off the top of my head, “You don’t have to say anything” seems like it would fit, but I have a feeling it might not sound right. Still, it would probably be better than the original:
“You remember more than you say. I’ve been in your head.”
To:
“You don’t have to say anything. I’ve been in your head.”
I’m sure there are a couple other options I could investigate as well.