It's a big difference between being accurate, and lacking/providing context. I'm not saying the things you quote are inaccurate, or were never said. All the things I've seen you quote, are legit quotes someone truthfully said. The problem is most of them are taken out of, or without context to push a narrative.
Look at this example. I DID say "Mayo is superior." It's an accurate quote. And Jay isolated that single sentence. Without context, the meaning is very ambiguous. What was I saying mayo is superior to? Superior to ketchup to dip your french fries in? Superior as the best all around condiment?
Nope. With the context, you can easily tell I was meaning it is a superior to butter on the outside of the bread on a grilled cheese. Without the context, it could be manipulated to any number of ways, while still being something I technically said.
And that is how quote manipulation without context works.