Interesting, because Shanks wasn’t a Yonko when he and Mihawk were dueling, which makes this irrelevant.
Or maybe it was big news because Mihawk was established and somebody unfamiliar came along and gave Mihawk a run for his money and the big shot couldn’t put this guy down. Kinda similar to how Luffy taking down Crocodile was a big deal, and would have been bigger if it hadn’t been suppressed.
Too bad that Luffy isn’t green, and wasn’t when he walked through WCI, whereas this implies Shanks was. So no, not similar.