I don’t see much point in lingering on about Rey’s “parents” when they’re confirmed to be irelevant nobodies, some of those lines could be used to expand on more important bits of the story. Here’s a few ideas:

“I pushed you in the desert because I needed to see it… I needed you to see it… the darkness in your nature. Rey…”

Kylo already says “The dark side is in our nature” on the DSII ruins, so this avoids repeating the exact same line twice.

“Your father had no part in your conception.”

Instead:
“But they had no part in your conception”. I think it’d be better to imply Rey is not related to either of her “parents”, and it avoids the implication the husband basically got cheated on through the Force.

“You see it, too, don’t you? The throne.”

Instead:
“You’ve seen it, haven’t you? Your destiny”. This would bring more focus on Rey’s character rather than the throne itself, causing her to relieve her vision through the mere mention of destiny. And I’d prefer the idea that Kylo knows of Rey’s visions, rather than having seen them himself.

“Your parents feared you. The same way Luke feared me.”

“Your parents were always drunk, especially so when they sold you. Palpatine’s followers had your parents taken. He was looking for you, but they couldn’t even remember what happened to you. They died to ensure you never saw a second chance at love."

I feel like from this point forward it doesn’t make sense to continue talking about Rey’s parents, we get the gist of it, they were nobodies, but Rey isn’t, it’d be better to remove any further reference to them, they have no part in this story. We’ve already moved on to the her vision of the throne and I feel like these lines could be replaced by something more relevant to set up the hangar revelation, I like the idea that Palpatine had been waiting for his creation to reveal itself, as hinventon suggested.