Agreed that the steps taken vis-a-vis these employees may have been the right one if they indeed breached company policy.
But I do have an issue with publicizing this so openly, and using this to showoff of how serious "we" are.
Even with the best intentions, you will run into bad apples. You still need to have the right controls, preferably automated, to avoid sensitive material to be used for internal purposes. Blogging on how they terminated employees doesn't help to showcase their leadership imho.