That error message, where it says Error: This does not seem to be a WordPress installation. is your hint. The Simply Static plugin (which I’ve never used), just by its name and this error, I assume creates a static copy of a WP site. That copy would not actually have WP at all, just the HTML of rendered pages. Local runs actual WP, and the zip files it expects are really the zip files it can create as site exports, as far as I know. Basically, I don’t think any zip created by a WP plugin would work. What I do to “move” live WP sites to Local is create a new site in Local, manually copy over the contents of wp-content, and then import a DB backup. Then use the WP-CLI to search and replace all URLs from the live site to the URL you gave the Local site. Once those are done edit the wp-config.php file with the correct table prefix, and whatever other edits you need.