You should be able to filter out some tests by using the filter site_status_tests

Wordress documentation: https://developer.wordpress.org/reference/hooks/site_status_tests/

Usage:

add_filter('site_status_tests', function (array $test_type) {
    unset($test_type['direct']['theme_version']); // remove warning about Twenty* themes
    unset($test_type['async']['background_updates']); // remove warning about Automatic background updates
    
    return $test_type;
}, 10, 1);

You can get the list of tests from the WP_Site_Health->get_tests() method in class-wp-site-health.php file.

You should be able to filter out some tests by using the filter site_status_tests

Quoting the WordPress documentation:

Usage:

add_filter('site_status_tests', function (array $test_type) {
    unset($test_type['direct']['theme_version']); // remove warning about Twenty* themes
    unset($test_type['async']['background_updates']); // remove warning about Automatic background updates
    
    return $test_type;
}, 10, 1);

You can get the list of tests from the WP_Site_Health->get_tests() method in class-wp-site-health.php file.