Do you mean the way it converts links into boxes containing the first few lines of posts? You can suppress the link preview by hyperlinking text, e.g. this
[Bit of Golden Rule Logic](https://www.ilovephilosophy.com/t/bit-of-golden-rule-logic/48867/7)
So, you quote post A in post B, and when you search for text from post A, the search offers post B as a result?
I don’t think there’s a way you can exclude text in a post from indexing for search purposes, and the quote is part of your post. While I agree that ideally the original post should usually be given higher search priority for a bit of text from the original, the post that quotes it might outrank it based on other factors. For example, I believe the search prioritizes recent and popular posts, so if a quoting post gets more attention, it might outrank the original.
But fundamentally, a quote isn’t actually pulling the text from the original post, it’s storing the same text again. One way to see this is you can change the quote and the software won’t notice, the link will still send you to the post but quoted text can say whatever. Witness:
That’s usually poor form, but the point is that the text in the quote box is stored in the new post, not the original. So if the search function is indexing all the text in a post, it will include the text inside a quote.
I just wish that it would give credit to the original author if it’s going to include the quote, especially if the way I quoted it does give credit to the original author.