Thanks for installing check-fetch-times.php
Yes, I see that allow_url_fopen = on in your PHP settings.
The problem still exists ( file_get_contents($URL…) is not working on your site – perhaps your hoster has disallowed http/https for stream access?
I see that you’re hosted on https://www.iscream.net/hebergement-web-noms-de-domaine/ – unfortunately for me, the site is in French and I’m pretty much an anglophone.
Could you put up a page with just
<?php phpinfo(); ?>
in it and PM me the URL. I could look over the details and see if http/https is amongst the allowed streams.