He admitted to lying about it? Do you have a source for that? I couldn't find anything.
I tried to find some outside sources, but nothing about Howell admitting his 'artistic license' outright. So take my fallible memory with a large pinch of salt.
See https://news.ycombinator.com/item?id=15713801 for some discussion, and to see how 'invert a binary tree' wasn't even an established term that anyone at Google would have used.