Earlier quoted context omitted.
It's a way to fraudulently pump the price (or lower the price) of a security. One person with two accounts can keep trading back and forth with themselves, and since crypto exchange know-your-customer measures are trivial or nonexistent, it's very easy to get away with.
There is still an order book so to get the price to rise or fall, the trader would have to buy or sell enough to clear the book. How does trading back and forth with themselves do anything other than generate fees for the exchange?
Edit: I was mixing this up with another conversation, the parent comment obviously isn't about NFTs. I'll leave this here though because I think wash trading is even more relevant to them.