To be fair, I think "mildly embarrassing" is underselling it a bit. If the Dwarves had the option of pretending the Dawi Zharr didn't exist to outsiders, I think there's at least a fair chance they'd take it. One thing the Dwarves and Elves have always had in common is debilitating excesses of pride, and part of that is not wanting to confess your greatest shames to outsiders.
That said, Caledor II did still handle it like a git.
Can I interest you in
A Practical Guide to Evil? The setting is one where story tropes are as real as the laws of physics, and potentially have equally lethal consequences for those who fall afoul of them.
Literally
anyone who sees this can get sucked into the ritual. Would
you want to bet on greenskins not being tough enough to last long enough to reach a human population center? I mean, imagine giving a report like this:
Wizard: Good news and bad news, my Emperor.
Emperor: ...Good news first, please.
Wizard: Our ritual appears to have successfully cleansed Karak Ungor.
Emperor: That's amazing! Surely the bad news must pale in comparison.
Wizard: Aha, well, about that. The ritual has also accidentally wiped out Ostermark. And it's still spreading. Apparently Grimgor Ironhide is now known by the greenskins as The Dancing Git, and he is... unamused. And keen on attacking the Empire in retribution. Evidently, it's proving difficult to fight him when laying eyes on him sucks soldiers into the ritual's effects.
Emperor: ...
Wizard: ...My liege?
Emperor: The Grand Theogonist was right. Wizards were a mistake.