From the article:

Let’s first start by getting the facts out of the way — erasing objects won’t be perfect. In this comparison, we aren’t using the more advanced AI editing tools (Magic Editor for Google phones and Generative Edit for Samsung phones), just the basic object erasers. These tools work best on smaller objects rather than people right next to you or larger objects.

Yeah, to be fair, the naming sucks and is confusing. Magic Edit is not Magic Eraser. Magic Edit uses GenAI and gives you multiple options to choose from, while Magic Eraser is not based on GenAI and will only give you the result and no options to choose from.