Site Health message: The Pods Team recommends you install the Pods Alternative..

It’s a recommendation using the Site Health API and unfortunately you can’t remove recommendations (like inactive plugins/themes recommendations).

This message only shows on sites that have no object caching solution. It’s recommended to help provide better performance for these sites.

Try upgrading the hosting to use Object Caching as I’m sure your client could be given great speed and performance benefits from setting that up.

If you need to remove it through code, you could try this snippet.

add_action( 'admin_init', static function() {
    remove_filter( 'site_status_tests', [ pods_admin(), 'site_status_tests' ] );
}, 20 );