Saving posts to Draft and then Publishing them seems to work. Now I’m testing to see what happens if I just Publish Post.
Edit: This also worked. However, it seems that people have tried the Drafts thing and then had their posts vanish later. We’ll have to see what happens. Still no word from Blogger Support. Until I’m confident this has been resolved, I’m saving all my posts in a text file. I also suggest that people not post comments :(, because Blogger has been eating them.