So it appears that they're not petitioning for mandamus. It's just an appeal of the sanctions order. I'm not exactly sure how that is jurisdictional under Section 1291, which limits appellate jurisdiction to "final orders" of the district court. But I think it's a separate appeal from their appeal of the judgment under the collateral-order doctrine.
In any event, expect some real strategic action on the part of the Fifth Circuit judges on this. They don't want this going to SCOTUS, because it's liable to make some real bad law for the Christian Nationalists. It's going to be real interesting to see how they handle this.
As I said above, I'm mildly surprised they're appealing. And as I said further above, the general corporate feel on this would be just to have the lawyers go do their day of religious indoctrination, because we're in the business of flying airplanes, not fighting culture wars.
But I'll also say that Southwest is a bit different from the standard corporate culture. And the Southwest GC Department has traditionally been part of that. They take very seriously the idea that "we stand up for our people." We're not going to allow a nutbar flight attendant cyberbully her coworkers, even if Jesus told her to do so. And we're not going to let a federal judge impose a plainly unconstitutional and illegal sanction on our in-house lawyers.
And yeah--it costs some money to stick up for your people. But if you're loyal to your people, then they'll reciprocate. You have their back--and they know you have their back--and they'll have yours. But if you don't, then they won't.
And so yeah--it costs some money. But it's an investment. And I think it's an investment that's important to make and that usually pays off.