Vim isn't vi. You don't have to have many features to be "vi like". That said, the site itself doesn't say "vi like". Their wording seems close to what you're suggesting.

"Amp is inspired by Vim's modal approach to text editing, which is reflected in several of its default key bindings. That similarity aside, there are several key differences". https://amp.rs/docs/

Edit: The amp key bindings: https://github.com/jmacdonald/amp/blob/8b917ac720e7513e5c5bc...