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The Thucydides Trap mention is different from what you describe. Xi has dismissed the Thucydides Trap multiple times in the past as being hearsay and self-imposed bias (https://www.globaltimes.cn/content/944179.shtml). "We should strictly base our judgment on facts, lest we become victims to hearsay, paranoid or self-imposed bias. There is no such thing as the so-called Thucydides trap in the world. But should major countries time and again make the mistakes of strategic miscalculation, they might create such traps for themselves."

But western politicians keep raising this metaphor. So at some point they're like "okay we'll speak your language". They then used this metaphor to make the point "our rise isn't the threat, your fear of it is. If you resist it you're walking right into the trap Thucydides warned about". So your conclusion is still right, they don't want open hostilities, a stable world is in their interest.

Then western media ran away with this and were like "OMG Xi mentioned the Thucydides Trap", completely ignoring his point.