Does the link checker work when running on localhost

I am building / testing my new site in my development environment, which can access the web, but is not accessible from the web. I am wondering if I can purchase, then run the Pro version of the plugin to test links with link checker in this environment?

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WP URL: https://localhost:8888
WP version: 6.2
PHP version: 7.4.33
Active Theme: Bill Child, version: 1.0.0.1681465800
Active Plugins:

• Advanced Custom Fields, version: 6.1.4
• Akismet Anti-Spam, version: 5.1
• All-in-One WP Migration, version: 7.73
• All-in-One WP Migration Unlimited Extension, version: 2.49
• Archives Calendar Widget, version: 1.0.14
• ARCW Popover Addon, version: 0.1.4
• CC Child Pages, version: 1.45
• Child Theme Configurator, version: 2.6.2
• Code Snippets, version: 3.3.0
• Insert PHP Code Snippet, version: 1.3.3
• Media Deduper Pro, version: 1.5.1
• MetaSlider, version: 3.30.0
• Page-list, version: 5.4
• SB Child List, version: 4.5
• Shortcodes Ultimate, version: 5.12.11
• Smash Balloon Instagram Feed, version: 6.1.3
• WP All Export Pro, version: 1.8.3
• WP All Import Pro, version: 4.7.8
• WP External Links, version: 2.58
• WP Tabs Pro, version: 2.1.7
• YYDevelopment – Show Pages ID, version: 1.5.5

WPEL Settings:
array(
‘wpel-external-link-settings’ => array (
‘apply_settings’ => ‘1’,
‘target’ => ‘_blank’,
‘target_overwrite’ => ”,
‘rel_follow’ => ”,
‘rel_follow_overwrite’ => ”,
‘rel_noopener’ => ‘1’,
‘rel_noreferrer’ => ‘1’,
‘rel_external’ => ‘1’,
‘rel_sponsored’ => ”,
‘rel_ugc’ => ”,
‘title’ => ‘{title}’,
‘class’ => ”,
‘icon_type’ => ‘image’,
‘icon_image’ => ’13’,
‘icon_dashicon’ => ‘dashicons-menu’,
‘icon_fontawesome’ => ‘fa-address-book’,
‘icon_position’ => ‘right’,
‘no_icon_for_img’ => ‘1’,
),
‘wpel-internal-link-settings’ => array (
‘apply_settings’ => ”,
‘target’ => ”,
‘target_overwrite’ => ”,
‘rel_follow’ => ”,
‘rel_follow_overwrite’ => ”,
‘rel_noopener’ => ‘1’,
‘rel_noreferrer’ => ‘1’,
‘title’ => ‘{title}’,
‘class’ => ”,
‘icon_type’ => ”,
‘icon_image’ => ‘1’,
‘icon_dashicon’ => ”,
‘icon_fontawesome’ => ”,
‘icon_position’ => ‘right’,
‘no_icon_for_img’ => ‘1’,
),
‘wpel-excluded-link-settings’ => array (
‘apply_settings’ => ”,
‘target’ => ”,
‘target_overwrite’ => ”,
‘rel_follow’ => ”,
‘rel_follow_overwrite’ => ”,
‘rel_noopener’ => ‘1’,
‘rel_noreferrer’ => ‘1’,
‘title’ => ‘{title}’,
‘class’ => ”,
‘icon_type’ => ”,
‘icon_image’ => ‘1’,
‘icon_dashicon’ => ”,
‘icon_fontawesome’ => ”,
‘icon_position’ => ‘right’,
‘no_icon_for_img’ => ‘1’,
),
‘wpel-exceptions-settings’ => array (
‘apply_all’ => ‘1’,
‘apply_post_content’ => ‘1’,
‘apply_comments’ => ‘1’,
‘apply_widgets’ => ‘1’,
‘skip_post_ids’ => ”,
‘ignore_classes’ => ”,
‘subdomains_as_internal_links’ => ”,
‘include_urls’ => ”,
‘exclude_urls’ => ”,
‘excludes_as_internal_links’ => ”,
‘ignore_script_tags’ => ‘1’,
‘ignore_mailto_links’ => ‘1’,
),
‘wpel-exit-confirmation-settings’ => array (
‘exit_preview’ => ”,
‘background’ => ‘#FFFFFF’,
‘title’ => ‘You are leaving our website’,
‘title_color’ => ‘#FFF’,
‘title_background’ => ‘#999’,
‘title_size’ => ’18’,
‘text’ => ‘This link leads outside our website and we are not responsible for its content. If you still want to visit the link, click here:’,
‘text_color’ => ‘#444’,
‘text_size’ => ’14’,
‘popup_width’ => ‘400’,
‘popup_height’ => ‘200’,
‘overlay’ => ‘1’,
‘overlay_color’ => ‘#000’,
‘button_text’ => ‘Stay on the site’,
‘button_size’ => ’14’,
‘button_color’ => ‘#FFF’,
‘button_background’ => ‘#1e73be’,
),
);