This is very small module. It is working with Faviconkit js.
You can learn more about Faviconkit js
Test here,
where drunk-indigo-goose.faviconkit.com/site_url/icon_size
Send request and download image if exists (if url is right).
Advantages:
Easy to use
Small size
If image was downloaded already, it will not send request once more
Draws only icon, text and icon, link and icon
Short name
automatic_site_icon_picker