I didn’t really taker her statement as fact, because it’s the exact type of answer I’d expect from any proud warrior. “It’s my sword, and I’m a badass. Therefore, my sword is the most badass sword in my whole realm. And my realm is the most badass of all the realms. Therefore, my sword is the most badass sword in all the realms.”
But it’d be cool if it really was a sword of particular renown, because that’s a story they can tell in a future ep.
Mulan’s actions in “Tallahassee” actually cemented for me that she’s trustworthy. She didn’t have to follow Emma’s orders exactly. The others didn’t know that she’d said to wait for 10 hours, so she could have waited for less time before going to chop it down and still said it was what Emma told her to do.
And I still maintain that Cora really needs that compass, so no one working for her would have even considered chopping the beanstalk down while the compass was still up there.