A while after I tested this, I noticed that my status post was still in the Facebook app. I double checked the Facebook site, and my post had been deleted, but nothing seemed to get rid of it in the Facebook app. I removed the app fro RAM. I restarted the iPad. No luck. Apparently the Facebook app saves posts in a catch, and it doesn't like to let them go.
Finally I logged out of the Facebook app. Even though it logged right back in, because of my settings, this did the trick. The misbehaving status post went away.
So, don't be fooled by any persistent status posts your Facebook app. If you delete it in the Safari browser, it does go away.