Oh! If the messaging is the same regardless of whether the right password is used then that changes everything!
I'm happy to be proven wrong, but I think that what's happening with @tim333 is that master passwords may be all lower cased (for example) before being hashed. Or maybe the password is hashed twice with the first letter upper and lower cased.
Here's what I found from a quick google re: password case:
https://www.zdnet.com/article/facebook-passwords-are-not-cas...
https://security.stackexchange.com/questions/68013/facebook-...
"This is simply Facebook trying to provide a better user experience for those users who may have Caps Lock enabled, or whose devices automatically capitalize the first letter of the password."