I'm re-creating a politician's website, using current (old) content. We'll update it later.
On this page, the text isn't wrapping around the picture: http://kg1.stefanos.co/about-kathie/
The image should be on the right, with the text wrapping around it. I have also tried it aligned to the left.
I created the page in the backend editor, and published it. The test didn't wrap. Then, I copied the HTML from the editor, and pasted it as code. It looked exactly the same.
It's as if Builder is stripping the alignment information out of the text before publishing it, although it's still there in the backend editor.